You have two dice, one with three sides labeled 0,1,2 and one with 4 sides, labeled 0,1,2,3. Let X1 be the outcome of rolling the first die, and X2 the outcome of rolling the second. The rolls are independent. (a) What is the joint p.m.f. of (X1, X2)? (b) Let Y1=X1·X2 and Y2= max{X1, X2}. Make a table for the joint p.m.f. of (Y1, Y2). (c) AreY1, Y2 independent?

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