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Let x be a discrete random variable with probability

Let X be a discrete random variable with probability function Px(x) = 2 -x for x = 1, 2, 3,..., with pX (x) = 0 otherwise.

(a) Let Y = X². What is the probability function pY of Y?

(b) Let Z =X- 1. What is the distribution of Z? (Identify the distribution by name and specify all parameter values.)

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