# Question

Let X and Y have a bivariate normal distribution with parameters μX = 10, σ2x = 9, μY = 15, σY2 = 16, and ρ = 0. Find

(a) P(13.6 < Y < 17.2).

(b) E(Y | x).

(c) Var(Y | x).

(d) P(13.6 < Y < 17.2 | X = 9.1).

(a) P(13.6 < Y < 17.2).

(b) E(Y | x).

(c) Var(Y | x).

(d) P(13.6 < Y < 17.2 | X = 9.1).

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