Question: b) The probability density function of continuous random variables X and Y is given below. Accordingly, after calculating c, calculate the expected value, variance and
b) The probability density function of continuous random variables X and Y is given below.
Accordingly, after calculating c, calculate the expected value, variance and standard deviation; 3. moment (3 = 0.0005) represents the asymmetry measure (a3 ) according to the arithmetic mean and the 4th moment ( 4 = 0.004). Find and interpret the kurtosis measure (a4 ) according to the arithmetic mean. Then, the variables X and Y covariance (Cov (X, Y)) and Pearson correlation coefficient to determine whether they are independent or not. Find (pxy ).
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