Posted by Kim on Tuesday, August 20, 2013 at 4:35pm.
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.

statistic  MathMate, Wednesday, August 21, 2013 at 8:17am
This is a binomial distribution with parameters
n=3 (number of trials in the experiment)
p=1/2 (probability of boys, X)
q=1p (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)
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