Let X, Y be two independent random variables with X N emp) and Y N erp(n). Let 1;} Z=X Z=mm(X,Y), W={U if 221' a) Find the pmf for W (P(W = 0) and...

Thats a practice test question. i need help please. thanks

Let X, Y be two independent random variables with X N empfl) and Y N erp(n). Let 1;} Z=X Z=mm(X,Y), W={U if 221’ a) Find the pmf for W (P(W = 0) and P(W =1)) b) Find the edf of Z, i.e. P(Z g z)|.