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 0.42. The table on the right 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 0.195
1 0.424
2 0.307
3 0.074