Question: 1. (a) For any positive integer m and a real number a, prove that 1 - qm+1 1 + at at ... + am =

1. (a) For any positive integer m and a real number

1. (a) For any positive integer m and a real number a, prove that 1 - qm+1 1 + at at ... + am = 1 - a (b) Suppose Y is a discrete random variable with geometric distribution and pmf p(y ) = q" p, y = 1, 2, ..., where 0

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