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Qoxp xn pn. 1 ···X n and independence) yields E(X) = np Var(X) = np(1−p) M(s) = (pes 1−p)n Keeping in the spirit of (1) we denote a binomial n, p rv by X ∼ bin(n,p) 3 geometric distribution with success probability p The number of independent Bernoulli p trials required until the first success yields the geometric rv with pmf p(k) = ˆ.
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