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Let Y be a uniform(0,1) random variable. Suppose that 10 trails are to be performed and that conditional on Y = y these trails will be independent...

Let Y be a uniform(0,1) random variable. Suppose that 10 trails are to be performed and that conditional on Y = y these trails will be independent with a common success probability y. Let X be the number of success that occur in these trials. Find E(X)and Var(X).
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