Suppose that X is a geometric random variable, where p X (k|) = (1) k1 , k

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Suppose that X is a geometric random variable, where pX(k|θ) = (1−θ)k−1θ, k = 1, 2, . . . . Assume that the prior distribution for θ is the beta pdf with parameters r and s. Find the posterior distribution for θ.

Distribution
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