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(a) The bivariate probability density function for X and Y denoted by f(x; y). Let f(x, y) equal x + y for (0 < equal to X < equal to 1) and (0 < equal to Y < equal to 1), zero otherwise. Find the marginal distributions for X and Y, respectively. Please denote them by fX(x) and fY (y).

(b) Using the same bivariate probability density function, find the covariance between X and Y .

(d) Define W_2 = 12 + 12X - 24Y. Find the variance of W_2.

(e) Find the covariance between W_1 and W_2.

(f) Find the correlation coefficient between W_1 and W_2.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M9991334

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