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2. Stars (10 points). Let the random variable N (v) be the number of stars in a region of Space of volume V. Assume that

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2. Stars (10 points). Let the random variable N (v) be the number of stars in a region of Space of volume V. Assume that N is a Poisson random variable with pmf (pv)\"e_,m n! whom): , n=0,1,2,..., where p is the \"density\" of stars in space. Dene the random variable X to be the distance from the north star to its nearest neighbor star. Find the pdf of X

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