Let Y be a continuous random variable with the following exponential density function: e-y y >0 fY (y) = else Given Y = y, a discrete random variable, N, has conditional distribution Poisson[4y]. a) Derive the conditional density mass, fIN (y|n), and identify it b) Determine the conditional expectation and variance for (Y|N =9); that is, calculate E[Y|N = 9] and Var[Y|N = 9] %3D

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