Question

In: Statistics and Probability

let X~GAM(3,2), when X = x, conditional distribution of Y has parameter as lambda = x,...

let X~GAM(3,2), when X = x, conditional distribution of Y has parameter as lambda = x, ~ POI(lambda)

(a) what is E(Y) and Var(Y)?

(b) what is marginal distribution of Y?

(c) what is E(X|Y=15) and Var(X|Y=15)?

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