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1 February, 20:21

Suppose a three-person comittee is formed for a culb by drawing names out of a hat. If the expected number of women is 2 and there are 10 men in the culb, how many women are in the club?

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  1. 1 February, 20:38
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    Answer: 20 women

    Explanation:

    Making the total number of women in the club 'x', we can then do the following,

    Total Number of Names in Hat, N

    N = x + 10 (total number of men)

    therefore total number of names in the hat N=x+10

    We need to select 3 people so sample size = 3

    Using the Hypergeometric Distribution then we can then use the formula,

    Expected number of women on the Committee = k * n / N

    Where k is the total number

    2 = x * 3 / (x + 10)

    2 = 3x / (x + 10)

    3x = 2x + 20

    x = 20

    There are 20 women in the club.
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