Suppose that a fair die is rolled twice. Let X be the value of the first roll, Y be the value of the second roll and Z be the sum of the two rolls.

(This series may be useful)

a) Find the moment Generating functions Mx(t), My(t), Mz(t) of X, Y and Z respectively b) Verify the Mz(t) = Mx(t)My(t)

Transcribed Image Text:

I 1- k=1 n k=0 1 - 1-2+1 1-2 (n+1)n + n2n+1 (1 - 2)² I 1- k=1 n k=0 1 - 1-2+1 1-2 (n+1)n + n2n+1 (1 - 2)²

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Let X be the value of the first roll Y be the value of the sec... View the full answer