Question: In a certain game a computer prints a random positive integer number N whose distribution is Poisson with parameter . Then another computer selects a

In a certain game a computer prints a random positive integer number N whose distribution is Poisson with parameter . Then another computer selects a real number X uniformly in the interval [0, N + 1]. (a) Compute the PDF of X at all values between 0 and 1, that is compute f x(x) for all 0 < x < 1. (b) Compute the expectation of X. Make sure to simplify your answers.

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