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mean of the geometric distribution

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find the mean of the geometric distribution
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pdf of the geometric distribution is f(x) = p q^(x-1) , x =1,2,...
where q = 1-p
find E(X), in the summation, use the binomial series for (1-u)^(-2)

answer and  some steps are given below
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mean of the geometric distribution, rbmix.com

variance of the geometric distribution ---------------variance of the geometric distribution

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