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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 table. p(x, y) 1 0.010 0.015 0.025 1. 0.020 0.030 0.050 0.050 0.075 0.125 3 0.060 0.090 0.150 4. 0.040 0.060 0.100 0.020 0.030 0.050 (a) What is the probability that there is exactly one car and exactly one bus during a cycle? 0.03 (b) What is the probability that there is at most one car and at most one bus during a cycle? 0.075 (c) What is the probability that there is exactly one car during a cycle? Exactly one bus? P(exactly one car) = 0.1 P(exactly one bus) = 0.3 (d) Suppose the left-turn lane is to have a capacity of 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. O Yes, because p(x, y) = P(x) · Py(v). O Yes, because p(x, y) + p (x) · PyY). O No, because p(x, y) = Px(x) PY). O No, because p(x, y) + P(x) PY).

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) 1 0.010 0.015 0.025 1. 0.020 0.030 0.050 0.050 0.075 0.125 3 0.060 0.090 0.150 4. 0.040 0.060 0.100 0.020 0.030 0.050 (a) What is the probability that there is exactly one car and exactly one bus during a cycle? 0.03 (b) What is the probability that there is at most one car and at most one bus during a cycle? 0.075 (c) What is the probability that there is exactly one car during a cycle? Exactly one bus? P(exactly one car) = 0.1 P(exactly one bus) = 0.3 (d) Suppose the left-turn lane is to have a capacity of 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. O Yes, because p(x, y) = P(x) · Py(v). O Yes, because p(x, y) + p (x) · PyY). O No, because p(x, y) = Px(x) PY). O No, because p(x, y) + P(x) PY).

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....
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I need part 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 table. y p(x, y) 1 2 0.010 0.015 0.025 1 0.020 0.030 0.050 2 0.050 0.075 0.125 0.060 0.090 0.150 4 0.040 0.060 0.100 5 0.020 0.030 0.050 (a) What is the probability that there is exactly one car and exactly one bus during a cycle? 0.03 (b) What is the probability that there is at most one car and at most one bus during a cycle? 0.075 (c) What is the probability that there is exactly one car during a cycle? Exactly one bus? P(exactly one car) = 0.1 = 10.1 P(exactly one bus) = 0.3 (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. O Yes, because p(x, y) = P(x) · Pyly). O Yes, because p(x, y) + P(x) PY). O No, because p(x, y) = Px(x) PY). O No, because p(x, y) P(x) PY). Watch It Need Help? Read It Viewing Saved Workk Reved to Last Respanse MacBook Pro ☆ く※ G Search or type URL
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 table. y p(x, y) 1 2 0.010 0.015 0.025 1 0.020 0.030 0.050 2 0.050 0.075 0.125 0.060 0.090 0.150 4 0.040 0.060 0.100 5 0.020 0.030 0.050 (a) What is the probability that there is exactly one car and exactly one bus during a cycle? 0.03 (b) What is the probability that there is at most one car and at most one bus during a cycle? 0.075 (c) What is the probability that there is exactly one car during a cycle? Exactly one bus? P(exactly one car) = 0.1 = 10.1 P(exactly one bus) = 0.3 (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. O Yes, because p(x, y) = P(x) · Pyly). O Yes, because p(x, y) + P(x) PY). O No, because p(x, y) = Px(x) PY). O No, because p(x, y) P(x) PY). Watch It Need Help? Read It Viewing Saved Workk Reved to Last Respanse MacBook Pro ☆ く※ G Search or type URL
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