1. Let X be a random variable with probability mass function P{X = r} =



n r



pr(1−p)n−r, r = 0,1,2, . . . ,n, 0 ≤ p ≤ 1.

Find the PMFs of the RVs

(a) Y = aX+b,

(b) Y = X2, and

(c) Y =

√

X.