Question: (10 points) For the binomial random variable X with parameters n and p, we have gpk) = i: (Z)Pk(1 -p)_' = 1. k=0 Use this

(10 points) For the binomial random variable X with parameters n and p, we have gpk) = i: (Z)Pk(1 -p)\"_"' = 1. k=0 Use this fact to prove that (a + b)\" = Zn: (n) akbn"g k=0 k for any positive a and b. (Hint. Divide both side by (a + b)" and try to use (1))

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