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Distributionshard
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Suppose XXX follows a distribution with the probability mass function P(X=k)=(nk)pk(1−p)n−kP(X=k) = \binom{n}{k} p^k (1-p)^{n-k}P(X=k)=(kn​)pk(1−p)n−k. If the variance of XXX is exactly equal to its mean, what constraint must be placed on the parameter ppp, assuming n>0n > 0n>0?