statistic

The random variable x represents the number of boys in a family with three children.
Assuming that births of boys and girls are equally likely, find the mean and standard
deviation for the random variable x.

asked by Kim
  1. This is a binomial distribution with parameters
    n=3 (number of trials in the experiment)
    p=1/2 (probability of boys, X)
    q=1-p (probability of girls)

    For a random variable X with a binomial distribution (n,p,q), then
    E(x)=μ=np
    σ²=npq
    where σ=standard deviation (of population)

    posted by MathMate

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