Let X and Y have a bivariate normal distribution with parameters X 10, 2x 9, Y 15, Y2 16, and 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)

Question: Let X and Y have a bivariate normal distribution with parameters X = 10, 2x = 9, Y = 15, Y2 = 16, and

Let X and Y have a bivariate normal 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).

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