Question: See question attached - thank you for the help and i will give good feedback! Problem 1. Let N be a random variable that takes

See question attached - thank you for the help and i will give good feedback!

Problem 1. Let N be a random variable that takes values in the non-negative integers 0,1,2,. . .. Given that N = n, toss a fair coin n times, and let X be the number of Heads and Y = N X the number of Tails. What is the covariance of X and Y if (a) N has the Poisson distribution with parameter A > 0? (b) N has the geometric distribution 1P{N = k} = rk_1(1 r)? Please simplify your answers as much as possible

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