Answer to Question #340276 in Statistics and Probability for Ken

Question

Suppose that X and Y have bivariate normal distribution with the probability density function

f(x, y) = k exp ^− (8X^2 − 6XY − 18Y^2 )

Find

(a) Pr(X + Y > 1/2)

(b) the joint moment generating function of Z1 = 2X − XY and Z2 = 3X + 2Y

Answer 1

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