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Distributionshard
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Let XXX be a random variable representing the number of independent trials until the first success, following a Geometric distribution with P(X=k)=p(1−p)k−1P(X=k) = p(1-p)^{k-1}P(X=k)=p(1−p)k−1. If the variance of XXX is equal to 222, what is the probability of success ppp?