The coordinates of the plane random vector (X, Y) are random variables whose common distribution is determined by the probabilities P (X = 1, Y = 8) = 0.1, P (X = 9, Y = 5) = 0.3, P (X = 7, Y = 7) = 0.6

A) Calculate expected value and standard deviation for X

B) Calculate expected value and standard deviation for Y

C) Calculate the expected value for the product XY

D) Calculate the Correlation of X and Y