A discrete random variable, X, has the probability generating function: G x (r) = 3/10 - 7t

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A discrete random variable, X, has the probability generating function:

Gx(r) = 3/10 - 7t

a. Find the probability generating function for Y = 3X + 4.

b. Show that E(Y) = 11.

c. Find P(Y = k) for k = 4, 7, 10.

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