Suppose that the random variables X and Y have a bivariate normal pdf with X = 56,

Suppose that the random variables X and Y have a bivariate normal pdf with μX = 56, μY =11,σ2X = 1.2,σ2Y = 2.6, and ρ = 0.6. Compute P(10 < Y < 10.5 | x = 55). Suppose that n = 4 values were to be observed with x fixed at 55. Find P(10.5 <  < 11 | x = 55).