Question: Suppose that 1, 2, . . . are i.i.d. discrete random variables, all with distribution Geometric(). Suppose that Geometric( ), where for all . Let

Suppose that 1, 2, . . . are i.i.d. discrete random variables, all with distribution Geometric(). Suppose that Geometric( ), where for all . Let = =1 . Derive the z-transformb(). What does the transform say about the distribution of ? Provide some intuition for the result

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