Suppose that X and Y have a bivariate normal distribution

Suppose that X and Y have a bivariate normal distribution

Suppose that X and Y have a bivariate normal distribution with joint probability density function fXY (x, y; ﾏス, ﾏズ, ﾎｼX, ﾎｼY, p).
(a) Show that the conditional distribution of Y, given that X = x is normal.
(b) Determine E(Y|X = x)
(c) Determine V(Y|X = X)

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