Question: 4.4. Consider a random variable X with possible outcomes: 0, 1, 2,... Suppose that P(X j) (1a)a', J 0, 1, 2,... (a) For what values

4.4. Consider a random variable X with possible outcomes: 0, 1, 2,... Suppose that P(X j) (1a)a', J 0, 1, 2,...

(a) For what values of a is the above model meaningful?

(b) Verify that the above does represent a legitimate probability distribution.

(c) Show that for any two positive integers s and 1, P(X + X>s) = P(X 1).

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