Question: need help with problem below Consider a Poisson process N = {N (t) : t Z 0} with rate A = 6 events per hour.

need help with problem below

Consider a Poisson process N = {N (t) : t Z 0} with rate A = 6 events per hour. Assume that a random variable W is independent of this process and has Gamma-distribution, Gamma [6; 0.5] Consider a random variable Y = N (W) 1. Find expected value of Y 2. Derive variance of Y

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