Question: Let U have a uniform distribution on (0,1). Given U carry out conditionally independent Bernoulli trials {X 1 , X 2,...... } each having success

Let U have a uniform distribution on (0,1). Given U carry out conditionally independent Bernoulli trials {X₁, X_2,......} each having success probability U. find the conditional probability. (see the attached picture for complete question)

Let U have a uniform distribution on (0,1). Given U carry out conditionally independent Bernoulli trials {X1,X2,...} each having success probability U, that is P(X1- = 1|U) = U. Let Sn 2 X1 + X2 + . . . + X\". Find the conditional probability P(Xn+1= us\" = a")

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