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solve it correctly please. I will rate accordingly The joint probability distribution of the number X of cars and the number Y of buses per

solve it correctly please. I will rate accordingly

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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 p(x, y) 0 2 O 0.015 0.025 0.010 0.030 0.050 0.020 2 0.075 0.125 0.050 X W 0.090 0.150 0.060 0.060 0.100 0.040 5 0.030 0.050 0.020 (a) What is the probability that there is exactly one car and exactly one bus during a cycle? 0.05 (b) What is the probability that there is at most one car and at most one bus during a cycle? 0.12 (c) What is the probability that there is exactly one car during a cycle? Exactly one bus? P(exactly one car) = 0.10 P(exactly one bus) = 0.50 (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

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