Question: Show that if Sn is a binomial random variable, then for k = 1, 2, ...,n, P{Sn = k} = (n k + 1)p

Show that if Sn is a binomial random variable, then for k = 1, 2, ...,n, P{Sn = k} = (n − k + 1)p k(1 − p) P{Sn = k − 1}.

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