Question

Let the random variable x represent the number of girls in a family with three children. Assume the probability of a child
being a girl is 0.46. The table describes the probability of having x number of girls.Determine whether the table describes
a probability distribution. If it does, find the mean and standard deviation. Is it unusual for a family of three children to
consist of three girls
x P(x)

0 0.157

1 0.402

2 0.343

3 0.098