9- The joint probability distribution of the numberX of cars and the number 1" of buses per signal cycle at a proposed left-turn lane is displayed in the accompanying joint probability table. p(x. y) l 0 l 2 0 .025 .015 .010 l .050 .030 .020 2 '125 ,0?5 '050 I 3 '150 .090 '060 4 JOB .060 '040 5 050 .030 '020 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? It. What is the probability that there is exactly one car during a cycle? Exactly one bus? d. Suppose the left-turn lane is to have a capacity of ve cars, and that one bus is equivalent to three cars. What is the probability of an overow during a cycle? e. Are X and Y independent ms? Explain