If X and Y have a bivariate normal distribution with joint probability density fXY (x

Chapter 5, Problem 5-53

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If X and Y have a bivariate normal distribution with joint probability density fXY (x, y; X, Y, X, Y, ), show that the marginal probability distribution of X is normal with mean X and standard deviation X. [Hint: Complete the square in the exponent and use the fact that the integral of a normal probability density function for a single variable is 1.] 5-

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