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(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?

(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?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Solve it correctly please. I will rate accordingly. Only option d. 

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 y P(x, y) 1 0.015 0.025 0.010 1. 0.030 0.050 0.020 0.075 0.125 0.050 3 0.090 0.150 0.060 4 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?
Transcribed Image Text: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 y P(x, y) 1 0.015 0.025 0.010 1. 0.030 0.050 0.020 0.075 0.125 0.050 3 0.090 0.150 0.060 4 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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