The joint probability distribution of the number X of cars and the number Y of buses per signal cycle at a proposed left-turn lane is displayed in the accompanying joint probability table. p(x, y) 0 1 2x 0 0.025 0.010 0.015 1 0.050 0.020 0.030 2 0.125 0.050 0.075 3 0.150 0.060 0.090 4 0.100 0.040 0.060 5 0.050 0.020 0.030 A. What is the probability that there is exactly one car and exactly one bus during a cycle?B. What is the probability that there is at most one car and at most one bus during a cycle?C. What is the probability that there is exactly one car during a cycle? D. Suppose the left-turn lane is to have a capacity of five cars and one bus is equivalent to three cars. What is the probability of an overflow during a cycle?E. Are X and Y independent rv's? Explain.1. Yes, because p(x, y) = pX(x) � pY(y).2. Yes, because p(x, y) ? pX(x) � pY(y). 3. No, because p(x, y) = pX(x) � pY(y).4. No, because p(x, y) ? pX(x) � pY(y).