Suppose that X and Y have a bivariate normal pdf with X 3, Y 6, 2X 4, 2Y 10, and 1 2 Find P(5 Y 6 1 2 ) and P(5 Y 6 1 2 x 2)

Question: Suppose that X and Y have a bivariate normal pdf with X = 3, Y = 6, 2X = 4, 2Y = 10, and

Suppose that X and Y have a bivariate normal pdf with μX = 3, μY = 6, σ2X = 4, σ2Y = 10, and ρ = 1/2. Find P(5 < Y < 6 1/2 ) and P(5 < Y < 6 1/2| x = 2).

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