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Expected Value Demonstration

Expected Value Demonstration
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2017-03-21 10:01
FunctionSequenceCalculusProbability & Statistics
In collections Visual Introduction to Probability-Juan Visual Introduction to Probability
This example visually demonstrates the calculation of expected value for discrete random variables. It involves core mathematical concepts such as probability distribution, expected value, frequency distribution, and random number generation. Key GeoGebra commands/objects used include Sequence, Join, Length, Frequency, RandomElement, Element, If, and PolyLine. Suitable for high school and above students studying probability statistics and discrete mathematics to intuitively understand the calculation process.

GeoGebra Commands & Parameters

  1. Sequence(1, i, 1, p1) → d1
  2. Sequence(2, i, 1, p2) → d2
  3. Sequence(3, i, 1, p3) → d3
  4. Sequence(4, i, 1, p4) → d4
  5. Sequence(5, i, 1, p5) → d5
  6. Sequence(6, i, 1, p6) → d6
  7. Join({d1, d2, d3, d4, d5, d6}) → Vals
  8. Length(Vals) → NumofVals
  9. Frequency(Vals) → Frequency
  10. RandomElement(Vals) → B1
  11. RandomElement(Vals) → B2
  12. RandomElement(Vals) → B3
  13. RandomElement(Vals) → B4
  14. RandomElement(Vals) → B5
  15. RandomElement(Vals) → B6
  16. RandomElement(Vals) → B7
  17. RandomElement(Vals) → B8
  18. RandomElement(Vals) → B9
  19. RandomElement(Vals) → B10
  20. RandomElement(Vals) → B11
  21. RandomElement(Vals) → B12
  22. RandomElement(Vals) → B13
  23. RandomElement(Vals) → B14
  24. RandomElement(Vals) → B15
  25. RandomElement(Vals) → B16
  26. RandomElement(Vals) → B17
  27. RandomElement(Vals) → B18
  28. RandomElement(Vals) → B19
  29. RandomElement(Vals) → B20
  30. RandomElement(Vals) → B21
  31. RandomElement(Vals) → B22
  32. RandomElement(Vals) → B23
  33. RandomElement(Vals) → B24
  34. RandomElement(Vals) → B25
  35. RandomElement(Vals) → B26
  36. RandomElement(Vals) → B27
  37. RandomElement(Vals) → B28
  38. RandomElement(Vals) → B29
  39. RandomElement(Vals) → B30
  40. RandomElement(Vals) → B31
  41. RandomElement(Vals) → B32
  42. RandomElement(Vals) → B33
  43. RandomElement(Vals) → B34
  44. RandomElement(Vals) → B35
  45. RandomElement(Vals) → B36
  46. RandomElement(Vals) → B37
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  48. RandomElement(Vals) → B39
  49. RandomElement(Vals) → B40
  50. RandomElement(Vals) → B41
  51. RandomElement(Vals) → B42
  52. RandomElement(Vals) → B43
  53. RandomElement(Vals) → B44
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  55. RandomElement(Vals) → B46
  56. RandomElement(Vals) → B47
  57. RandomElement(Vals) → B48
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  59. RandomElement(Vals) → B50
  60. RandomElement(Vals) → B51
  61. RandomElement(Vals) → B52
  62. RandomElement(Vals) → B53
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  65. RandomElement(Vals) → B56
  66. RandomElement(Vals) → B57
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  68. RandomElement(Vals) → B59
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  70. RandomElement(Vals) → B61
  71. RandomElement(Vals) → B62
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  74. RandomElement(Vals) → B65
  75. RandomElement(Vals) → B66
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  78. RandomElement(Vals) → B69
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  110. RandomElement(Vals) → B101
  111. RandomElement(Vals) → B102
  112. RandomElement(Vals) → B103
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  568. RandomElement(Vals) → B559
  569. RandomElement(Vals) → B560
  570. RandomElement(Vals) → B561
  571. RandomElement(Vals) → B562
  572. RandomElement(Vals) → B563
  573. RandomElement(Vals) → B564
  574. RandomElement(Vals) → B565
  575. RandomElement(Vals) → B566
  576. RandomElement(Vals) → B567
  577. RandomElement(Vals) → B568
  578. RandomElement(Vals) → B569
  579. RandomElement(Vals) → B570
  580. RandomElement(Vals) → B571
  581. RandomElement(Vals) → B572
  582. RandomElement(Vals) → B573
  583. RandomElement(Vals) → B574
  584. RandomElement(Vals) → B575
  585. RandomElement(Vals) → B576
  586. RandomElement(Vals) → B577
  587. RandomElement(Vals) → B578
  588. RandomElement(Vals) → B579
  589. RandomElement(Vals) → B580
  590. RandomElement(Vals) → B581
  591. RandomElement(Vals) → B582
  592. RandomElement(Vals) → B583
  593. RandomElement(Vals) → B584
  594. RandomElement(Vals) → B585
  595. RandomElement(Vals) → B586
  596. RandomElement(Vals) → B587
  597. RandomElement(Vals) → B588
  598. RandomElement(Vals) → B589
  599. RandomElement(Vals) → B590
  600. RandomElement(Vals) → B591
  601. RandomElement(Vals) → B592
  602. RandomElement(Vals) → B593
  603. RandomElement(Vals) → B594
  604. RandomElement(Vals) → B595
  605. RandomElement(Vals) → B596
  606. RandomElement(Vals) → B597
  607. RandomElement(Vals) → B598
  608. RandomElement(Vals) → B599
  609. RandomElement(Vals) → B600
  610. RandomElement(Vals) → B601
  611. RandomElement(Vals) → B602
  612. RandomElement(Vals) → B603
  613. RandomElement(Vals) → B604
  614. RandomElement(Vals) → B605
  615. RandomElement(Vals) → B606
  616. RandomElement(Vals) → B607
  617. RandomElement(Vals) → B608
  618. RandomElement(Vals) → B609
  619. RandomElement(Vals) → B610
  620. RandomElement(Vals) → B611
  621. RandomElement(Vals) → B612
  622. RandomElement(Vals) → B613
  623. RandomElement(Vals) → B614
  624. RandomElement(Vals) → B615
  625. RandomElement(Vals) → B616
  626. RandomElement(Vals) → B617
  627. RandomElement(Vals) → B618
  628. RandomElement(Vals) → B619
  629. RandomElement(Vals) → B620
  630. RandomElement(Vals) → B621
  631. RandomElement(Vals) → B622
  632. RandomElement(Vals) → B623
  633. RandomElement(Vals) → B624
  634. RandomElement(Vals) → B625
  635. RandomElement(Vals) → B626
  636. RandomElement(Vals) → B627
  637. RandomElement(Vals) → B628
  638. RandomElement(Vals) → B629
  639. RandomElement(Vals) → B630
  640. RandomElement(Vals) → B631
  641. RandomElement(Vals) → B632
  642. RandomElement(Vals) → B633
  643. RandomElement(Vals) → B634
  644. RandomElement(Vals) → B635
  645. RandomElement(Vals) → B636
  646. RandomElement(Vals) → B637
  647. RandomElement(Vals) → B638
  648. RandomElement(Vals) → B639
  649. RandomElement(Vals) → B640
  650. RandomElement(Vals) → B641
  651. RandomElement(Vals) → B642
  652. RandomElement(Vals) → B643
  653. RandomElement(Vals) → B644
  654. RandomElement(Vals) → B645
  655. RandomElement(Vals) → B646
  656. RandomElement(Vals) → B647
  657. RandomElement(Vals) → B648
  658. RandomElement(Vals) → B649
  659. RandomElement(Vals) → B650
  660. RandomElement(Vals) → B651
  661. RandomElement(Vals) → B652
  662. RandomElement(Vals) → B653
  663. RandomElement(Vals) → B654
  664. RandomElement(Vals) → B655
  665. RandomElement(Vals) → B656
  666. RandomElement(Vals) → B657
  667. RandomElement(Vals) → B658
  668. RandomElement(Vals) → B659
  669. RandomElement(Vals) → B660
  670. RandomElement(Vals) → B661
  671. RandomElement(Vals) → B662
  672. RandomElement(Vals) → B663
  673. RandomElement(Vals) → B664
  674. RandomElement(Vals) → B665
  675. RandomElement(Vals) → B666
  676. RandomElement(Vals) → B667
  677. RandomElement(Vals) → B668
  678. RandomElement(Vals) → B669
  679. RandomElement(Vals) → B670
  680. RandomElement(Vals) → B671
  681. RandomElement(Vals) → B672
  682. RandomElement(Vals) → B673
  683. RandomElement(Vals) → B674
  684. RandomElement(Vals) → B675
  685. RandomElement(Vals) → B676
  686. RandomElement(Vals) → B677
  687. RandomElement(Vals) → B678
  688. RandomElement(Vals) → B679
  689. RandomElement(Vals) → B680
  690. RandomElement(Vals) → B681
  691. RandomElement(Vals) → B682
  692. RandomElement(Vals) → B683
  693. RandomElement(Vals) → B684
  694. RandomElement(Vals) → B685
  695. RandomElement(Vals) → B686
  696. RandomElement(Vals) → B687
  697. RandomElement(Vals) → B688
  698. RandomElement(Vals) → B689
  699. RandomElement(Vals) → B690
  700. RandomElement(Vals) → B691
  701. RandomElement(Vals) → B692
  702. RandomElement(Vals) → B693
  703. RandomElement(Vals) → B694
  704. RandomElement(Vals) → B695
  705. RandomElement(Vals) → B696
  706. RandomElement(Vals) → B697
  707. RandomElement(Vals) → B698
  708. RandomElement(Vals) → B699
  709. RandomElement(Vals) → B700
  710. RandomElement(Vals) → B701
  711. RandomElement(Vals) → B702
  712. RandomElement(Vals) → B703
  713. RandomElement(Vals) → B704
  714. RandomElement(Vals) → B705
  715. RandomElement(Vals) → B706
  716. RandomElement(Vals) → B707
  717. RandomElement(Vals) → B708
  718. RandomElement(Vals) → B709
  719. RandomElement(Vals) → B710
  720. RandomElement(Vals) → B711
  721. RandomElement(Vals) → B712
  722. RandomElement(Vals) → B713
  723. RandomElement(Vals) → B714
  724. RandomElement(Vals) → B715
  725. RandomElement(Vals) → B716
  726. RandomElement(Vals) → B717
  727. RandomElement(Vals) → B718
  728. RandomElement(Vals) → B719
  729. RandomElement(Vals) → B720
  730. RandomElement(Vals) → B721
  731. RandomElement(Vals) → B722
  732. RandomElement(Vals) → B723
  733. RandomElement(Vals) → B724
  734. RandomElement(Vals) → B725
  735. RandomElement(Vals) → B726
  736. RandomElement(Vals) → B727
  737. RandomElement(Vals) → B728
  738. RandomElement(Vals) → B729
  739. RandomElement(Vals) → B730
  740. RandomElement(Vals) → B731
  741. RandomElement(Vals) → B732
  742. RandomElement(Vals) → B733
  743. RandomElement(Vals) → B734
  744. RandomElement(Vals) → B735
  745. RandomElement(Vals) → B736
  746. RandomElement(Vals) → B737
  747. RandomElement(Vals) → B738
  748. RandomElement(Vals) → B739
  749. RandomElement(Vals) → B740
  750. RandomElement(Vals) → B741
  751. RandomElement(Vals) → B742
  752. RandomElement(Vals) → B743
  753. RandomElement(Vals) → B744
  754. RandomElement(Vals) → B745
  755. RandomElement(Vals) → B746
  756. RandomElement(Vals) → B747
  757. RandomElement(Vals) → B748
  758. RandomElement(Vals) → B749
  759. RandomElement(Vals) → B750
  760. RandomElement(Vals) → B751
  761. RandomElement(Vals) → B752
  762. RandomElement(Vals) → B753
  763. RandomElement(Vals) → B754
  764. RandomElement(Vals) → B755
  765. RandomElement(Vals) → B756
  766. RandomElement(Vals) → B757
  767. RandomElement(Vals) → B758
  768. RandomElement(Vals) → B759
  769. RandomElement(Vals) → B760
  770. RandomElement(Vals) → B761
  771. RandomElement(Vals) → B762
  772. RandomElement(Vals) → B763
  773. RandomElement(Vals) → B764
  774. RandomElement(Vals) → B765
  775. RandomElement(Vals) → B766
  776. RandomElement(Vals) → B767
  777. RandomElement(Vals) → B768
  778. RandomElement(Vals) → B769
  779. RandomElement(Vals) → B770
  780. RandomElement(Vals) → B771
  781. RandomElement(Vals) → B772
  782. RandomElement(Vals) → B773
  783. RandomElement(Vals) → B774
  784. RandomElement(Vals) → B775
  785. RandomElement(Vals) → B776
  786. RandomElement(Vals) → B777
  787. RandomElement(Vals) → B778
  788. RandomElement(Vals) → B779
  789. RandomElement(Vals) → B780
  790. RandomElement(Vals) → B781
  791. RandomElement(Vals) → B782
  792. RandomElement(Vals) → B783
  793. RandomElement(Vals) → B784
  794. RandomElement(Vals) → B785
  795. RandomElement(Vals) → B786
  796. RandomElement(Vals) → B787
  797. RandomElement(Vals) → B788
  798. RandomElement(Vals) → B789
  799. RandomElement(Vals) → B790
  800. RandomElement(Vals) → B791
  801. RandomElement(Vals) → B792
  802. RandomElement(Vals) → B793
  803. RandomElement(Vals) → B794
  804. RandomElement(Vals) → B795
  805. RandomElement(Vals) → B796
  806. RandomElement(Vals) → B797
  807. RandomElement(Vals) → B798
  808. RandomElement(Vals) → B799
  809. RandomElement(Vals) → B800
  810. RandomElement(Vals) → B801
  811. RandomElement(Vals) → B802
  812. RandomElement(Vals) → B803
  813. RandomElement(Vals) → B804
  814. RandomElement(Vals) → B805
  815. RandomElement(Vals) → B806
  816. RandomElement(Vals) → B807
  817. RandomElement(Vals) → B808
  818. RandomElement(Vals) → B809
  819. RandomElement(Vals) → B810
  820. RandomElement(Vals) → B811
  821. RandomElement(Vals) → B812
  822. RandomElement(Vals) → B813
  823. RandomElement(Vals) → B814
  824. RandomElement(Vals) → B815
  825. RandomElement(Vals) → B816
  826. RandomElement(Vals) → B817
  827. RandomElement(Vals) → B818
  828. RandomElement(Vals) → B819
  829. RandomElement(Vals) → B820
  830. RandomElement(Vals) → B821
  831. RandomElement(Vals) → B822
  832. RandomElement(Vals) → B823
  833. RandomElement(Vals) → B824
  834. RandomElement(Vals) → B825
  835. RandomElement(Vals) → B826
  836. RandomElement(Vals) → B827
  837. RandomElement(Vals) → B828
  838. RandomElement(Vals) → B829
  839. RandomElement(Vals) → B830
  840. RandomElement(Vals) → B831
  841. RandomElement(Vals) → B832
  842. RandomElement(Vals) → B833
  843. RandomElement(Vals) → B834
  844. RandomElement(Vals) → B835
  845. RandomElement(Vals) → B836
  846. RandomElement(Vals) → B837
  847. RandomElement(Vals) → B838
  848. RandomElement(Vals) → B839
  849. RandomElement(Vals) → B840
  850. RandomElement(Vals) → B841
  851. RandomElement(Vals) → B842
  852. RandomElement(Vals) → B843
  853. RandomElement(Vals) → B844
  854. RandomElement(Vals) → B845
  855. RandomElement(Vals) → B846
  856. RandomElement(Vals) → B847
  857. RandomElement(Vals) → B848
  858. RandomElement(Vals) → B849
  859. RandomElement(Vals) → B850
  860. RandomElement(Vals) → B851
  861. RandomElement(Vals) → B852
  862. RandomElement(Vals) → B853
  863. RandomElement(Vals) → B854
  864. RandomElement(Vals) → B855
  865. RandomElement(Vals) → B856
  866. RandomElement(Vals) → B857
  867. RandomElement(Vals) → B858
  868. RandomElement(Vals) → B859
  869. RandomElement(Vals) → B860
  870. RandomElement(Vals) → B861
  871. RandomElement(Vals) → B862
  872. RandomElement(Vals) → B863
  873. RandomElement(Vals) → B864
  874. RandomElement(Vals) → B865
  875. RandomElement(Vals) → B866
  876. RandomElement(Vals) → B867
  877. RandomElement(Vals) → B868
  878. RandomElement(Vals) → B869
  879. RandomElement(Vals) → B870
  880. RandomElement(Vals) → B871
  881. RandomElement(Vals) → B872
  882. RandomElement(Vals) → B873
  883. RandomElement(Vals) → B874
  884. RandomElement(Vals) → B875
  885. RandomElement(Vals) → B876
  886. RandomElement(Vals) → B877
  887. RandomElement(Vals) → B878
  888. RandomElement(Vals) → B879
  889. RandomElement(Vals) → B880
  890. RandomElement(Vals) → B881
  891. RandomElement(Vals) → B882
  892. RandomElement(Vals) → B883
  893. RandomElement(Vals) → B884
  894. RandomElement(Vals) → B885
  895. RandomElement(Vals) → B886
  896. RandomElement(Vals) → B887
  897. RandomElement(Vals) → B888
  898. RandomElement(Vals) → B889
  899. RandomElement(Vals) → B890
  900. RandomElement(Vals) → B891
  901. RandomElement(Vals) → B892
  902. RandomElement(Vals) → B893
  903. RandomElement(Vals) → B894
  904. RandomElement(Vals) → B895
  905. RandomElement(Vals) → B896
  906. RandomElement(Vals) → B897
  907. RandomElement(Vals) → B898
  908. RandomElement(Vals) → B899
  909. RandomElement(Vals) → B900
  910. RandomElement(Vals) → B901
  911. RandomElement(Vals) → B902
  912. RandomElement(Vals) → B903
  913. RandomElement(Vals) → B904
  914. RandomElement(Vals) → B905
  915. RandomElement(Vals) → B906
  916. RandomElement(Vals) → B907
  917. RandomElement(Vals) → B908
  918. RandomElement(Vals) → B909
  919. RandomElement(Vals) → B910
  920. RandomElement(Vals) → B911
  921. RandomElement(Vals) → B912
  922. RandomElement(Vals) → B913
  923. RandomElement(Vals) → B914
  924. RandomElement(Vals) → B915
  925. RandomElement(Vals) → B916
  926. RandomElement(Vals) → B917
  927. RandomElement(Vals) → B918
  928. RandomElement(Vals) → B919
  929. RandomElement(Vals) → B920
  930. RandomElement(Vals) → B921
  931. RandomElement(Vals) → B922
  932. RandomElement(Vals) → B923
  933. RandomElement(Vals) → B924
  934. RandomElement(Vals) → B925
  935. RandomElement(Vals) → B926
  936. RandomElement(Vals) → B927
  937. RandomElement(Vals) → B928
  938. RandomElement(Vals) → B929
  939. RandomElement(Vals) → B930
  940. RandomElement(Vals) → B931
  941. RandomElement(Vals) → B932
  942. RandomElement(Vals) → B933
  943. RandomElement(Vals) → B934
  944. RandomElement(Vals) → B935
  945. RandomElement(Vals) → B936
  946. RandomElement(Vals) → B937
  947. RandomElement(Vals) → B938
  948. RandomElement(Vals) → B939
  949. RandomElement(Vals) → B940
  950. RandomElement(Vals) → B941
  951. RandomElement(Vals) → B942
  952. RandomElement(Vals) → B943
  953. RandomElement(Vals) → B944
  954. RandomElement(Vals) → B945
  955. RandomElement(Vals) → B946
  956. RandomElement(Vals) → B947
  957. RandomElement(Vals) → B948
  958. RandomElement(Vals) → B949
  959. RandomElement(Vals) → B950
  960. RandomElement(Vals) → B951
  961. RandomElement(Vals) → B952
  962. RandomElement(Vals) → B953
  963. RandomElement(Vals) → B954
  964. RandomElement(Vals) → B955
  965. RandomElement(Vals) → B956
  966. RandomElement(Vals) → B957
  967. RandomElement(Vals) → B958
  968. RandomElement(Vals) → B959
  969. RandomElement(Vals) → B960
  970. RandomElement(Vals) → B961
  971. RandomElement(Vals) → B962
  972. RandomElement(Vals) → B963
  973. RandomElement(Vals) → B964
  974. RandomElement(Vals) → B965
  975. RandomElement(Vals) → B966
  976. RandomElement(Vals) → B967
  977. RandomElement(Vals) → B968
  978. RandomElement(Vals) → B969
  979. RandomElement(Vals) → B970
  980. RandomElement(Vals) → B971
  981. RandomElement(Vals) → B972
  982. RandomElement(Vals) → B973
  983. RandomElement(Vals) → B974
  984. RandomElement(Vals) → B975
  985. RandomElement(Vals) → B976
  986. RandomElement(Vals) → B977
  987. RandomElement(Vals) → B978
  988. RandomElement(Vals) → B979
  989. RandomElement(Vals) → B980
  990. RandomElement(Vals) → B981
  991. RandomElement(Vals) → B982
  992. RandomElement(Vals) → B983
  993. RandomElement(Vals) → B984
  994. RandomElement(Vals) → B985
  995. RandomElement(Vals) → B986
  996. RandomElement(Vals) → B987
  997. RandomElement(Vals) → B988
  998. RandomElement(Vals) → B989
  999. RandomElement(Vals) → B990
  1000. RandomElement(Vals) → B991
  1001. RandomElement(Vals) → B992
  1002. RandomElement(Vals) → B993
  1003. RandomElement(Vals) → B994
  1004. RandomElement(Vals) → B995
  1005. RandomElement(Vals) → B996
  1006. RandomElement(Vals) → B997
  1007. RandomElement(Vals) → B998
  1008. RandomElement(Vals) → B999
  1009. RandomElement(Vals) → B1000
  1010. RandomElement(Vals) → B1001
  1011. RandomElement(Vals) → B1002
  1012. RandomElement(Vals) → B1003
  1013. RandomElement(Vals) → B1004
  1014. RandomElement(Vals) → B1005
  1015. RandomElement(Vals) → B1006
  1016. RandomElement(Vals) → B1007
  1017. RandomElement(Vals) → B1008
  1018. RandomElement(Vals) → B1009
  1019. RandomElement(Vals) → B1010
  1020. RandomElement(Vals) → B1011
  1021. RandomElement(Vals) → B1012
  1022. RandomElement(Vals) → B1013
  1023. RandomElement(Vals) → B1014
  1024. RandomElement(Vals) → B1015
  1025. RandomElement(Vals) → B1016
  1026. RandomElement(Vals) → B1017
  1027. RandomElement(Vals) → B1018
  1028. RandomElement(Vals) → B1019
  1029. RandomElement(Vals) → B1020
  1030. RandomElement(Vals) → B1021
  1031. RandomElement(Vals) → B1022
  1032. RandomElement(Vals) → B1023
  1033. RandomElement(Vals) → B1024
  1034. RandomElement(Vals) → B1025
  1035. RandomElement(Vals) → B1026
  1036. RandomElement(Vals) → B1027
  1037. RandomElement(Vals) → B1028
  1038. RandomElement(Vals) → B1029
  1039. RandomElement(Vals) → B1030
  1040. RandomElement(Vals) → B1031
  1041. RandomElement(Vals) → B1032
  1042. RandomElement(Vals) → B1033
  1043. RandomElement(Vals) → B1034
  1044. RandomElement(Vals) → B1035
  1045. RandomElement(Vals) → B1036
  1046. RandomElement(Vals) → B1037
  1047. RandomElement(Vals) → B1038
  1048. RandomElement(Vals) → B1039
  1049. RandomElement(Vals) → B1040
  1050. RandomElement(Vals) → B1041
  1051. RandomElement(Vals) → B1042
  1052. RandomElement(Vals) → B1043
  1053. RandomElement(Vals) → B1044
  1054. RandomElement(Vals) → B1045
  1055. RandomElement(Vals) → B1046
  1056. RandomElement(Vals) → B1047
  1057. RandomElement(Vals) → B1048
  1058. RandomElement(Vals) → B1049
  1059. RandomElement(Vals) → B1050
  1060. RandomElement(Vals) → B1051
  1061. RandomElement(Vals) → B1052
  1062. RandomElement(Vals) → B1053
  1063. RandomElement(Vals) → B1054
  1064. RandomElement(Vals) → B1055
  1065. RandomElement(Vals) → B1056
  1066. RandomElement(Vals) → B1057
  1067. RandomElement(Vals) → B1058
  1068. RandomElement(Vals) → B1059
  1069. RandomElement(Vals) → B1060
  1070. RandomElement(Vals) → B1061
  1071. RandomElement(Vals) → B1062
  1072. RandomElement(Vals) → B1063
  1073. RandomElement(Vals) → B1064
  1074. RandomElement(Vals) → B1065
  1075. RandomElement(Vals) → B1066
  1076. RandomElement(Vals) → B1067
  1077. RandomElement(Vals) → B1068
  1078. RandomElement(Vals) → B1069
  1079. RandomElement(Vals) → B1070
  1080. RandomElement(Vals) → B1071
  1081. RandomElement(Vals) → B1072
  1082. RandomElement(Vals) → B1073
  1083. RandomElement(Vals) → B1074
  1084. RandomElement(Vals) → B1075
  1085. RandomElement(Vals) → B1076
  1086. RandomElement(Vals) → B1077
  1087. RandomElement(Vals) → B1078
  1088. RandomElement(Vals) → B1079
  1089. RandomElement(Vals) → B1080
  1090. RandomElement(Vals) → B1081
  1091. RandomElement(Vals) → B1082
  1092. RandomElement(Vals) → B1083
  1093. RandomElement(Vals) → B1084
  1094. RandomElement(Vals) → B1085
  1095. RandomElement(Vals) → B1086
  1096. RandomElement(Vals) → B1087
  1097. RandomElement(Vals) → B1088
  1098. RandomElement(Vals) → B1089
  1099. RandomElement(Vals) → B1090
  1100. RandomElement(Vals) → B1091
  1101. RandomElement(Vals) → B1092
  1102. RandomElement(Vals) → B1093
  1103. RandomElement(Vals) → B1094
  1104. RandomElement(Vals) → B1095
  1105. RandomElement(Vals) → B1096
  1106. RandomElement(Vals) → B1097
  1107. RandomElement(Vals) → B1098
  1108. RandomElement(Vals) → B1099
  1109. RandomElement(Vals) → B1100
  1110. RandomElement(Vals) → B1101
  1111. RandomElement(Vals) → B1102
  1112. RandomElement(Vals) → B1103
  1113. RandomElement(Vals) → B1104
  1114. RandomElement(Vals) → B1105
  1115. RandomElement(Vals) → B1106
  1116. RandomElement(Vals) → B1107
  1117. RandomElement(Vals) → B1108
  1118. RandomElement(Vals) → B1109
  1119. RandomElement(Vals) → B1110
  1120. RandomElement(Vals) → B1111
  1121. RandomElement(Vals) → B1112
  1122. RandomElement(Vals) → B1113
  1123. RandomElement(Vals) → B1114
  1124. RandomElement(Vals) → B1115
  1125. RandomElement(Vals) → B1116
  1126. RandomElement(Vals) → B1117
  1127. RandomElement(Vals) → B1118
  1128. RandomElement(Vals) → B1119
  1129. RandomElement(Vals) → B1120
  1130. RandomElement(Vals) → B1121
  1131. RandomElement(Vals) → B1122
  1132. RandomElement(Vals) → B1123
  1133. RandomElement(Vals) → B1124
  1134. RandomElement(Vals) → B1125
  1135. RandomElement(Vals) → B1126
  1136. RandomElement(Vals) → B1127
  1137. RandomElement(Vals) → B1128
  1138. RandomElement(Vals) → B1129
  1139. RandomElement(Vals) → B1130
  1140. RandomElement(Vals) → B1131
  1141. RandomElement(Vals) → B1132
  1142. RandomElement(Vals) → B1133
  1143. RandomElement(Vals) → B1134
  1144. RandomElement(Vals) → B1135
  1145. RandomElement(Vals) → B1136
  1146. RandomElement(Vals) → B1137
  1147. RandomElement(Vals) → B1138
  1148. RandomElement(Vals) → B1139
  1149. RandomElement(Vals) → B1140
  1150. RandomElement(Vals) → B1141
  1151. RandomElement(Vals) → B1142
  1152. RandomElement(Vals) → B1143
  1153. RandomElement(Vals) → B1144
  1154. RandomElement(Vals) → B1145
  1155. RandomElement(Vals) → B1146
  1156. RandomElement(Vals) → B1147
  1157. RandomElement(Vals) → B1148
  1158. RandomElement(Vals) → B1149
  1159. RandomElement(Vals) → B1150
  1160. RandomElement(Vals) → B1151
  1161. RandomElement(Vals) → B1152
  1162. RandomElement(Vals) → B1153
  1163. RandomElement(Vals) → B1154
  1164. RandomElement(Vals) → B1155
  1165. RandomElement(Vals) → B1156
  1166. RandomElement(Vals) → B1157
  1167. RandomElement(Vals) → B1158
  1168. RandomElement(Vals) → B1159
  1169. RandomElement(Vals) → B1160
  1170. RandomElement(Vals) → B1161
  1171. RandomElement(Vals) → B1162
  1172. RandomElement(Vals) → B1163
  1173. RandomElement(Vals) → B1164
  1174. RandomElement(Vals) → B1165
  1175. RandomElement(Vals) → B1166
  1176. RandomElement(Vals) → B1167
  1177. RandomElement(Vals) → B1168
  1178. RandomElement(Vals) → B1169
  1179. RandomElement(Vals) → B1170
  1180. RandomElement(Vals) → B1171
  1181. RandomElement(Vals) → B1172
  1182. RandomElement(Vals) → B1173
  1183. RandomElement(Vals) → B1174
  1184. RandomElement(Vals) → B1175
  1185. RandomElement(Vals) → B1176
  1186. RandomElement(Vals) → B1177
  1187. RandomElement(Vals) → B1178
  1188. RandomElement(Vals) → B1179
  1189. RandomElement(Vals) → B1180
  1190. RandomElement(Vals) → B1181
  1191. RandomElement(Vals) → B1182
  1192. RandomElement(Vals) → B1183
  1193. RandomElement(Vals) → B1184
  1194. RandomElement(Vals) → B1185
  1195. RandomElement(Vals) → B1186
  1196. RandomElement(Vals) → B1187
  1197. RandomElement(Vals) → B1188
  1198. RandomElement(Vals) → B1189
  1199. RandomElement(Vals) → B1190
  1200. RandomElement(Vals) → B1191
  1201. RandomElement(Vals) → B1192
  1202. RandomElement(Vals) → B1193
  1203. RandomElement(Vals) → B1194
  1204. RandomElement(Vals) → B1195
  1205. RandomElement(Vals) → B1196
  1206. RandomElement(Vals) → B1197
  1207. RandomElement(Vals) → B1198
  1208. RandomElement(Vals) → B1199
  1209. RandomElement(Vals) → B1200
  1210. RandomElement(Vals) → B1201
  1211. RandomElement(Vals) → B1202
  1212. RandomElement(Vals) → B1203
  1213. RandomElement(Vals) → B1204
  1214. RandomElement(Vals) → B1205
  1215. RandomElement(Vals) → B1206
  1216. RandomElement(Vals) → B1207
  1217. RandomElement(Vals) → B1208
  1218. RandomElement(Vals) → B1209
  1219. RandomElement(Vals) → B1210
  1220. RandomElement(Vals) → B1211
  1221. RandomElement(Vals) → B1212
  1222. RandomElement(Vals) → B1213
  1223. RandomElement(Vals) → B1214
  1224. RandomElement(Vals) → B1215
  1225. RandomElement(Vals) → B1216
  1226. RandomElement(Vals) → B1217
  1227. RandomElement(Vals) → B1218
  1228. RandomElement(Vals) → B1219
  1229. RandomElement(Vals) → B1220
  1230. RandomElement(Vals) → B1221
  1231. RandomElement(Vals) → B1222
  1232. RandomElement(Vals) → B1223
  1233. RandomElement(Vals) → B1224
  1234. RandomElement(Vals) → B1225
  1235. RandomElement(Vals) → B1226
  1236. RandomElement(Vals) → B1227
  1237. RandomElement(Vals) → B1228
  1238. RandomElement(Vals) → B1229
  1239. RandomElement(Vals) → B1230
  1240. RandomElement(Vals) → B1231
  1241. RandomElement(Vals) → B1232
  1242. RandomElement(Vals) → B1233
  1243. RandomElement(Vals) → B1234
  1244. RandomElement(Vals) → B1235
  1245. RandomElement(Vals) → B1236
  1246. RandomElement(Vals) → B1237
  1247. RandomElement(Vals) → B1238
  1248. RandomElement(Vals) → B1239
  1249. RandomElement(Vals) → B1240
  1250. RandomElement(Vals) → B1241
  1251. RandomElement(Vals) → B1242
  1252. RandomElement(Vals) → B1243
  1253. RandomElement(Vals) → B1244
  1254. RandomElement(Vals) → B1245
  1255. RandomElement(Vals) → B1246
  1256. RandomElement(Vals) → B1247
  1257. RandomElement(Vals) → B1248
  1258. RandomElement(Vals) → B1249
  1259. RandomElement(Vals) → B1250
  1260. RandomElement(Vals) → B1251
  1261. RandomElement(Vals) → B1252
  1262. RandomElement(Vals) → B1253
  1263. RandomElement(Vals) → B1254
  1264. RandomElement(Vals) → B1255
  1265. RandomElement(Vals) → B1256
  1266. RandomElement(Vals) → B1257
  1267. RandomElement(Vals) → B1258
  1268. RandomElement(Vals) → B1259
  1269. RandomElement(Vals) → B1260
  1270. RandomElement(Vals) → B1261
  1271. RandomElement(Vals) → B1262
  1272. RandomElement(Vals) → B1263
  1273. RandomElement(Vals) → B1264
  1274. RandomElement(Vals) → B1265
  1275. RandomElement(Vals) → B1266
  1276. RandomElement(Vals) → B1267
  1277. RandomElement(Vals) → B1268
  1278. RandomElement(Vals) → B1269
  1279. RandomElement(Vals) → B1270
  1280. RandomElement(Vals) → B1271
  1281. RandomElement(Vals) → B1272
  1282. RandomElement(Vals) → B1273
  1283. RandomElement(Vals) → B1274
  1284. RandomElement(Vals) → B1275
  1285. RandomElement(Vals) → B1276
  1286. RandomElement(Vals) → B1277
  1287. RandomElement(Vals) → B1278
  1288. RandomElement(Vals) → B1279
  1289. RandomElement(Vals) → B1280
  1290. RandomElement(Vals) → B1281
  1291. RandomElement(Vals) → B1282
  1292. RandomElement(Vals) → B1283
  1293. RandomElement(Vals) → B1284
  1294. RandomElement(Vals) → B1285
  1295. RandomElement(Vals) → B1286
  1296. RandomElement(Vals) → B1287
  1297. RandomElement(Vals) → B1288
  1298. RandomElement(Vals) → B1289
  1299. RandomElement(Vals) → B1290
  1300. RandomElement(Vals) → B1291
  1301. RandomElement(Vals) → B1292
  1302. RandomElement(Vals) → B1293
  1303. RandomElement(Vals) → B1294
  1304. RandomElement(Vals) → B1295
  1305. RandomElement(Vals) → B1296
  1306. RandomElement(Vals) → B1297
  1307. RandomElement(Vals) → B1298
  1308. RandomElement(Vals) → B1299
  1309. RandomElement(Vals) → B1300
  1310. RandomElement(Vals) → B1301
  1311. RandomElement(Vals) → B1302
  1312. RandomElement(Vals) → B1303
  1313. RandomElement(Vals) → B1304
  1314. RandomElement(Vals) → B1305
  1315. RandomElement(Vals) → B1306
  1316. RandomElement(Vals) → B1307
  1317. RandomElement(Vals) → B1308
  1318. RandomElement(Vals) → B1309
  1319. RandomElement(Vals) → B1310
  1320. RandomElement(Vals) → B1311
  1321. RandomElement(Vals) → B1312
  1322. RandomElement(Vals) → B1313
  1323. RandomElement(Vals) → B1314
  1324. RandomElement(Vals) → B1315
  1325. RandomElement(Vals) → B1316
  1326. RandomElement(Vals) → B1317
  1327. RandomElement(Vals) → B1318
  1328. RandomElement(Vals) → B1319
  1329. RandomElement(Vals) → B1320
  1330. RandomElement(Vals) → B1321
  1331. RandomElement(Vals) → B1322
  1332. RandomElement(Vals) → B1323
  1333. RandomElement(Vals) → B1324
  1334. RandomElement(Vals) → B1325
  1335. RandomElement(Vals) → B1326
  1336. RandomElement(Vals) → B1327
  1337. RandomElement(Vals) → B1328
  1338. RandomElement(Vals) → B1329
  1339. RandomElement(Vals) → B1330
  1340. RandomElement(Vals) → B1331
  1341. RandomElement(Vals) → B1332
  1342. RandomElement(Vals) → B1333
  1343. RandomElement(Vals) → B1334
  1344. RandomElement(Vals) → B1335
  1345. RandomElement(Vals) → B1336
  1346. RandomElement(Vals) → B1337
  1347. RandomElement(Vals) → B1338
  1348. RandomElement(Vals) → B1339
  1349. RandomElement(Vals) → B1340
  1350. RandomElement(Vals) → B1341
  1351. RandomElement(Vals) → B1342
  1352. RandomElement(Vals) → B1343
  1353. RandomElement(Vals) → B1344
  1354. RandomElement(Vals) → B1345
  1355. RandomElement(Vals) → B1346
  1356. RandomElement(Vals) → B1347
  1357. RandomElement(Vals) → B1348
  1358. RandomElement(Vals) → B1349
  1359. RandomElement(Vals) → B1350
  1360. RandomElement(Vals) → B1351
  1361. RandomElement(Vals) → B1352
  1362. RandomElement(Vals) → B1353
  1363. RandomElement(Vals) → B1354
  1364. RandomElement(Vals) → B1355
  1365. RandomElement(Vals) → B1356
  1366. RandomElement(Vals) → B1357
  1367. RandomElement(Vals) → B1358
  1368. RandomElement(Vals) → B1359
  1369. RandomElement(Vals) → B1360
  1370. RandomElement(Vals) → B1361
  1371. RandomElement(Vals) → B1362
  1372. RandomElement(Vals) → B1363
  1373. RandomElement(Vals) → B1364
  1374. RandomElement(Vals) → B1365
  1375. RandomElement(Vals) → B1366
  1376. RandomElement(Vals) → B1367
  1377. RandomElement(Vals) → B1368
  1378. RandomElement(Vals) → B1369
  1379. RandomElement(Vals) → B1370
  1380. RandomElement(Vals) → B1371
  1381. RandomElement(Vals) → B1372
  1382. RandomElement(Vals) → B1373
  1383. RandomElement(Vals) → B1374
  1384. RandomElement(Vals) → B1375
  1385. RandomElement(Vals) → B1376
  1386. RandomElement(Vals) → B1377
  1387. RandomElement(Vals) → B1378
  1388. RandomElement(Vals) → B1379
  1389. RandomElement(Vals) → B1380
  1390. RandomElement(Vals) → B1381
  1391. RandomElement(Vals) → B1382
  1392. RandomElement(Vals) → B1383
  1393. RandomElement(Vals) → B1384
  1394. RandomElement(Vals) → B1385
  1395. RandomElement(Vals) → B1386
  1396. RandomElement(Vals) → B1387
  1397. RandomElement(Vals) → B1388
  1398. RandomElement(Vals) → B1389
  1399. RandomElement(Vals) → B1390
  1400. RandomElement(Vals) → B1391
  1401. RandomElement(Vals) → B1392
  1402. RandomElement(Vals) → B1393
  1403. RandomElement(Vals) → B1394
  1404. RandomElement(Vals) → B1395
  1405. RandomElement(Vals) → B1396
  1406. RandomElement(Vals) → B1397
  1407. RandomElement(Vals) → B1398
  1408. RandomElement(Vals) → B1399
  1409. RandomElement(Vals) → B1400
  1410. RandomElement(Vals) → B1401
  1411. RandomElement(Vals) → B1402
  1412. RandomElement(Vals) → B1403
  1413. RandomElement(Vals) → B1404
  1414. RandomElement(Vals) → B1405
  1415. RandomElement(Vals) → B1406
  1416. RandomElement(Vals) → B1407
  1417. RandomElement(Vals) → B1408
  1418. RandomElement(Vals) → B1409
  1419. RandomElement(Vals) → B1410
  1420. RandomElement(Vals) → B1411
  1421. RandomElement(Vals) → B1412
  1422. RandomElement(Vals) → B1413
  1423. RandomElement(Vals) → B1414
  1424. RandomElement(Vals) → B1415
  1425. RandomElement(Vals) → B1416
  1426. RandomElement(Vals) → B1417
  1427. RandomElement(Vals) → B1418
  1428. RandomElement(Vals) → B1419
  1429. RandomElement(Vals) → B1420
  1430. RandomElement(Vals) → B1421
  1431. RandomElement(Vals) → B1422
  1432. RandomElement(Vals) → B1423
  1433. RandomElement(Vals) → B1424
  1434. RandomElement(Vals) → B1425
  1435. RandomElement(Vals) → B1426
  1436. RandomElement(Vals) → B1427
  1437. RandomElement(Vals) → B1428
  1438. RandomElement(Vals) → B1429
  1439. RandomElement(Vals) → B1430
  1440. RandomElement(Vals) → B1431
  1441. RandomElement(Vals) → B1432
  1442. RandomElement(Vals) → B1433
  1443. RandomElement(Vals) → B1434
  1444. RandomElement(Vals) → B1435
  1445. RandomElement(Vals) → B1436
  1446. RandomElement(Vals) → B1437
  1447. RandomElement(Vals) → B1438
  1448. RandomElement(Vals) → B1439
  1449. RandomElement(Vals) → B1440
  1450. RandomElement(Vals) → B1441
  1451. RandomElement(Vals) → B1442
  1452. RandomElement(Vals) → B1443
  1453. RandomElement(Vals) → B1444
  1454. RandomElement(Vals) → B1445
  1455. RandomElement(Vals) → B1446
  1456. RandomElement(Vals) → B1447
  1457. RandomElement(Vals) → B1448
  1458. RandomElement(Vals) → B1449
  1459. RandomElement(Vals) → B1450
  1460. RandomElement(Vals) → B1451
  1461. RandomElement(Vals) → B1452
  1462. RandomElement(Vals) → B1453
  1463. RandomElement(Vals) → B1454
  1464. RandomElement(Vals) → B1455
  1465. RandomElement(Vals) → B1456
  1466. RandomElement(Vals) → B1457
  1467. RandomElement(Vals) → B1458
  1468. RandomElement(Vals) → B1459
  1469. RandomElement(Vals) → B1460
  1470. RandomElement(Vals) → B1461
  1471. RandomElement(Vals) → B1462
  1472. RandomElement(Vals) → B1463
  1473. RandomElement(Vals) → B1464
  1474. RandomElement(Vals) → B1465
  1475. RandomElement(Vals) → B1466
  1476. RandomElement(Vals) → B1467
  1477. RandomElement(Vals) → B1468
  1478. RandomElement(Vals) → B1469
  1479. RandomElement(Vals) → B1470
  1480. RandomElement(Vals) → B1471
  1481. RandomElement(Vals) → B1472
  1482. RandomElement(Vals) → B1473
  1483. RandomElement(Vals) → B1474
  1484. RandomElement(Vals) → B1475
  1485. RandomElement(Vals) → B1476
  1486. RandomElement(Vals) → B1477
  1487. RandomElement(Vals) → B1478
  1488. RandomElement(Vals) → B1479
  1489. RandomElement(Vals) → B1480
  1490. RandomElement(Vals) → B1481
  1491. RandomElement(Vals) → B1482
  1492. RandomElement(Vals) → B1483
  1493. RandomElement(Vals) → B1484
  1494. RandomElement(Vals) → B1485
  1495. RandomElement(Vals) → B1486
  1496. RandomElement(Vals) → B1487
  1497. RandomElement(Vals) → B1488
  1498. RandomElement(Vals) → B1489
  1499. RandomElement(Vals) → B1490
  1500. RandomElement(Vals) → B1491
  1501. RandomElement(Vals) → B1492
  1502. RandomElement(Vals) → B1493
  1503. RandomElement(Vals) → B1494
  1504. RandomElement(Vals) → B1495
  1505. RandomElement(Vals) → B1496
  1506. RandomElement(Vals) → B1497
  1507. RandomElement(Vals) → B1498
  1508. RandomElement(Vals) → B1499
  1509. RandomElement(Vals) → B1500
  1510. Sequence(Sum[Values, i] / i, i, 1, n) → Ave2, {1}
  1511. Sequence((i, Element[Ave2, i]), i, 1, n) → Points
  1512. Element(Values, n) → ValueN
  1513. If(1 ≤ n < 140, xmax, Scale) → a
  1514. PolyLine(Points) → LinePoints
  1515. Length(Values) → zz