1. Let X, X, and Y, be independent Bernoulli random variables with success probabilities 1/2,1/3, and 1/4, respectively. Give their conditional joint pdf, given that X, + X, + X} =2. 2. Let X - Exp(1) and Y ~ Exp(#) be independent. Show that (a) min( X, Y) ~ Exp(1 + 4) (b) P(X