2) Suppose that X and Y has joint density function of bivariate normal distribution as follows: f(x, y) = 1 2π√1-p² - e 1 2(1-p²) (x²-2pxy + y²) 1(-30,00) (x) 1(-0,00) (X). Assume that the marginal distribution of random variables X and Y is N(0,1). Show that the conditional distribution of X given Y is N(py,1-p²).

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