Question: a) The probability density function of compound random variables X and Y is given below. Accordingly, the expected value, variance and calculate the standard deviation;

a) The probability density function of compound random variables X and Y is given below.

Accordingly, the expected value, variance and calculate the standard deviation; 3. moment (3 = 0.0001) arithmetic measure the asymmetry relative to the average (a3 ) and 4th moment ( 4 = 0.006) arithmetic kurtosis measure relative to the mean (a4 ). Find and comment. Then, to determine whether variables X and Y are independent. Find the covariance (Cov (X, Y)) and Pearson correlation coefficient (pxy ).

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