Consider the following experiment: Roll 2 fair, four sided dice. Considerthe following discrete random variables:X = the number of odd dice.Y = the...

1. Consider the following experiment: Roll 2 fair, four sided dice. Considerthe following discrete random variables:X = the number of odd dice.Y = the number of even dice.Z = the number of dice showing a 3 or a 4.Clearly, each of X, Y , and Z have range {0, 1, 2}.a) Find fX,Y (x, y). Give your answer in tabular form.b) Determine whether or not X and Y are independent.c) Find E(XY ).d) Repeat exercises a) - c) above for the random variables Y and Z.