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X1 and X2 are discrete random variables (and are independent) with probability functions: p1(x1) = 1/3...

X1 and X2 are discrete random variables (and are independent) with probability functions:

p1(x1) = 1/3 for x1 = −2 ,−1 , 0

p2(x2) = 1/2 for x2 = 1, 6

Let Y = X1 + X2

a).

Find the MGF of X1, X2 and Y

b).

USE MGFS derived in part a) to determine the probability mass function of Y.

Note: MGFs in part a) must be used to determine the pmf of Y in part b)

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