STATISTICS

Suppose that you are in a class of 29 students and it is assumed that approximately 16% of the population is left-handed. (Give your answers correct to three decimal places.)
(a) Compute the probability that exactly five students are left-handed.

(b) Compute the probability that at most four students are left-handed.


(c) Compute the probability that at least six students are left-handed.

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asked by BJ
  1. Formula:

    P(x) = (nCx)(p^x)[q^(n-x)]

    For (a):

    x = 5
    p = .16
    q = 1 - p = 1 - .16 = .84
    n = 29

    Substitute and calculate for your probability.

    For (b):

    x = 0,1,2,3,4
    p,q,n stay the same.

    Add each probability you calculate for the total probability.

    For (c):

    Add together the probabilities you calculated for (a) and (b). Then subtract that value from 1. This will be your answer for (c).

    You could also use a binomial probability table to find the above probabilities as well. This would be easier than calculating each by hand.

    I hope this will help get you started.

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    posted by MathGuru

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