Question: Let Y be a uniform random variable over the interval [0,1]. Let X be a Binomial random variable with parameters (N,Y), i.e.,XBinomial(N,Y). Find the pdf

Let Y be a uniform random variable over the interval [0,1]. Let X be a Binomial random variable with parameters (N,Y), i.e.,XBinomial(N,Y). Find the pdf of E(X|Y) and find E(X).

(using the law of iterated expectation)

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