Question: Problem 5.69 Let X and Y have a bivariate normal distribution with parameters X = 2, Y = 1, 2 X = 9, 2 Y

Problem 5.69 Let X and Y have a bivariate normal distribution with parameters µX = 2, µY = 1, σ2 X = 9, σ2 Y = 16, ρ = −3/4. Compute:

(a) P(Y < 3)

(b) P(Y < 3|X = 2)

(c) E(Y |X = 2)

(d) V (X + Y )

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