The genes for eye color in a certain male fruit fly are (R,W). The genes for eye color in the mating female fruit fly are (R,W). Their offspring receive one gene for eye color from each parent. If an offspring ends up with either (R,R),(R,W) or (W,R) its eyes look red. Let X equal the number of offspring having red eyes. Let Y equal the number of red eye offspring having (R,W) or (W,R) genes.

a) If the total number of offspring is n=400, how is X distributed?

b) Give the values of E(X) and Var(X).

c) Given that x=300, how is Y distributed?

d) Give the values of E(Y|X=300) and Var(Y|X=300).