For the random variables X and Y in Problem 4.2.1, find
(a) The expected value of W = Y/X,
(b) The correlation, E[XY],
(c) The covariance, Cov[X, Y], (d) The correlation coefficient, ρX,Y ,
(e) The variance of X + Y, Var[X + Y].
Problem 4.2.1
Random variables X and Y have the joint PMF
(a) What is the value of the constant c?
(b) What is P[Y
(c) What is P[Y > X]?
(d) What is P[Y = X]?
(e) What is P[Y = 3]?