The discrete random variables X and Y have the joint probability mass function shown below: Find the expected value of X, E(X)? Find the expected value of XY, E(XY)? Find the covariance of X and Y, Cov(X, Y)? Compute the expected value, E(X + Y)? Compute the variance. V(4Y^5)?

1. (35 points) The discrete random variables X and Y have the joint probability mass function shown below: Y 0 1 2 X 0 0.10 0.22 0.25 1 0.16 0.19 0.08 (7 points) Find the expected value of X, E(X)? (7 points) Find the expected value of XY, E(XY)? (7 points) Find the covariance of X and Y, Cov(X,Y)? (7 points) Compute the expected value, E(X+Y)? (7 points) Compute the variance, V(4Y )