Five males with a particular genetic disorder have one child each. The random variable x is the number of children among the five who inherit the genetic disorder. Determine whether the table describes a probability distribution. If it does, find the mean and standard deviation.

x

0

1

2

3

4

5

P(x)

0.2887

0.4072

0.2297

0.0648

0.0091

0.0005