Question: Let X be a random variable having the binomial distribution with parameters n and p for some p (0, 1) and Y be another

Let X be a random variable having the binomial distribution with parameters n and p for some p ∈ (0, 1) and Y be another random variable having the binomial distribution with parameters n and q, where q = 1 − p. Show that for x = 0, 1, 2,…, n, we have P(X = x) = P(Y = n − x).

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