55. Suppose that the joint probability mass function of X and Y is P(X = i, Y...

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55. Suppose that the joint probability mass function of X and Y is P(X = i, Y = j) =

 j i



e−2λλj

/ j!, 0 ≤ i ≤ j

(a) Find the probability mass function of Y .

(b) Find the probability mass function of X.

(c) Find the probability mass function of Y − X.

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