Question 34. One 4-Ohm resistor and two B-Ohm resistors are in a box. A resistor is randomly drawn from the box and inspected; then it is replaced in the box and a second is drawn. We will denote by X the resistance of the rst one drawn from the box and Y the resistance of the second. Since this is sampling with replacement, the result of one test has no inuence on the result of the other test. (a) Construct the joint probability mass function of X and Y. (b) Calculate the probability that X=Y. (c) Calculate the correlation of X and Y. (d) Calculate the conditional probability mass function of X when Y=4. (e) Have you used any theorems to justify your calculations in parts (a-d)