Statistics help!?

Question

The Random Variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the MEAN and STANDARD DEVIATION for the random variable x.

Answer 1

The possibilities are:
BBB (3 boys)
BBG (2 boys)
BGB (2 boys)
BGG (1 boy)
GBB (2 boys)
GBG (1 boy)
GGB (1 boy)
GBB (0 boys)

If you find the mean and standard deviation for
{ 3, 2 , 2, 1, 2, 1, 1, 0 }
you get x-bar = 1.5 and Sx = .9258200998