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Math Help - Mode of binomial, poisson, and hypergeometric distributions

  1. #1
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    Mode of binomial, poisson, and hypergeometric distributions

    Hi all! The lab instructions suggest that the mode should be the highest probability of the distribution and I just wanted to make sure I was doing this part right before I turn it in, since I can't find anything to confirm for me in the chapter we're working on. What I THINK is the mode is denoted with <------. Thanks


    1. Create binomial distribution, 20 trials, probability .58.
    2. Highlight the mode of the distribution.

    X Binomial f(x)
    0 0.000000
    1 0.000001
    2 0.000011
    3 0.000088
    4 0.000514
    5 0.002272
    6 0.007842
    7 0.021660
    8 0.048605
    9 0.089495
    10 0.135948
    11 0.170670
    12 0.176765 <--------
    13 0.150218
    14 0.103722
    15 0.057294
    16 0.024725
    17 0.008034
    18 0.001849
    19 0.000269
    20 0.000019


    1. Create Poisson distribution. X=0-26, mean 10/day.
    2. Identify and highlight the mode of distribution.

    X Poisson f(x)
    0 0.000045
    1 0.000454
    2 0.002270
    3 0.007567
    4 0.018917
    5 0.037833
    6 0.063055
    7 0.090079
    8 0.112599
    9 0.125110 <----------
    10 0.125110 <----------
    11 0.113736
    12 0.094780
    13 0.072908
    14 0.052077
    15 0.034718
    16 0.021699
    17 0.012764
    18 0.007091
    19 0.003732
    20 0.001866
    21 0.000889
    22 0.000404
    23 0.000176
    24 0.000073
    25 0.000029
    26 0.000011

    5. Create Hypergeometric distribution. Population 24, event count, 8, sample size, 6.
    6. Identify the mode and highlight.
    X Hypergeometric f(x)
    0 0.059497
    1 0.259621
    2 0.378615 <----------
    3 0.232994
    4 0.062409
    5 0.006657
    6 0.000208
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  2. #2
    MHF Contributor
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    Re: Mode of binomial, poisson, and hypergeometric distributions

    I didn't check that your distributions were accurate but you have identified the mode of each correctly.
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  3. #3
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    Re: Mode of binomial, poisson, and hypergeometric distributions

    Excellent, that's what I needed to know. Thank you again!
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