Let X and Y have a bivariate normal distribution with mean vector (₁ = 3, μ2 = 1)', and standard deviations ₁ = 4,02 = 5, and correlation p = 0.6. (i.) Find E(Y|X = (ii.) Find Var(Y|X= 7) (iii) Find P(3 < Y < 8|X= 7) = 7)

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Let X and Y have a bivariate normal distribution with mean vector (μ₁ = 3, μ2 = 1)′,
and standard deviations ₁ = 4,02 = 5, and correlation p = 0.6.
(i.) Find E(Y|X= 7)
(ii.) Find Var(Y|X = 7)
(iii) Find P(3 <Y < 8|X = 7)
Transcribed Image Text:Let X and Y have a bivariate normal distribution with mean vector (μ₁ = 3, μ2 = 1)′, and standard deviations ₁ = 4,02 = 5, and correlation p = 0.6. (i.) Find E(Y|X= 7) (ii.) Find Var(Y|X = 7) (iii) Find P(3 <Y < 8|X = 7)
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