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In any game, Donovan McNabb completes a number of passes K that is Poisson distributed with expected value α = 20. If NFL yardage were measured with greater care (as opposed to always being rounded to the nearest yard), officials might discover that each completion results in a yardage gain Y that has an exponential distribution with expected value γ = 15 yards. Let V equal McNabb's total passing yardage in a game. Find φV (s), E[V], Var[V], and (if possible) the PDF fV (v).

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Category:- Statistics and Probability
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