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please show all steps Q.9 The number of times a batter gets to bat in a...

please show all steps

Q.9 The number of times a batter gets to bat in a game follows a binomial distribution N ∼ Binomial(6, 0.8). Given the number of times N = n that the better has at bat, the number of hits he gets conditionally follows a binomial distribution as well, (X|N = n) ∼ Binomial(n, 0.3)

(a) Find E[X]

(b) Find Var[X]

(c) Find Cov[X, N]

(d) Find ρ[X, N]

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