= (8 points) The discrete integer-valued random variables X and Y have the joint probability mass function (PMF) Pxy(x,
Posted: Sun May 15, 2022 4:24 pm
= (8 points) The discrete integer-valued random variables X and Y have the joint probability mass function (PMF) Pxy(x, y) = P(X = X, Y = y) = cx + yl for x € {-2,0,2}, y € (-1,0,1} and 0 otherwise. 1) (2 points) Find the value of the constant c. 2) (2 points) Find the expectation E(X) and the variance var(X). 3) (2 points) Find the covariance cov(X,Y). 4) (2 points) Find the correlation coefficient px.y.