1. Choose a number at random from the set of numbers from the set of numbers {1,2,3,4,5}. Now choose a number from the subset {1,...,X). Call this second number Y.
a) Find the joint p.m.f. of X and Y
b) Find the conditional mass function of X given that Y = i. Do it for i = 1,2,3,4,5
c) Are X and Y independent? Why?