Colonel Motors (an automobile company) has prepared a marketing campaign for its best selling car. The focus of the campaign is quality, and it is claimed that 97 percent of the purchasers of this car have no complaints in the first year. You and your sister Kim have each purchased one of these cars. What is the probability that neither of you has

Colonel Motors (an automobile company) has prepared a marketing campaign for its best selling car. The focus of the campaign is quality, and it is claimed that 97 percent of the purchasers of this car have no complaints in the first year. You and your sister Kim have each purchased one of these cars. What is the probability that neither of you has

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Assume that the car lot contains 25 percent Volvos, 30 percent Corvettes, and 45 percent BMWs. Of the Volvos, 10 percent have navigation systems, 90 percent of the Corvettes have navigation systems, and 70 percent of the BMWs have navigation systems. You are assigned a car at random. If the car has a navigation system, what is the probability that it is not a Volvo?
5. Clarice has 7 new CDs; 3 are classical music and the rest are pop music. If she randomly grabs 3 CDs to listen to in the car on her way to school, what is the probability that she will select only classical music?
Last year, at Northern Manufacturing Company, 200 people had colds during the year. One hundred fifty-five people who did no exercising had colds, and the remainder of the people with colds were involved in a weekly exercise program. Half of the 1,000 employees were involved in some type of exercise. What is the probability that an employee will have a cold next year? Given that an employee is involved in an exercise program, what is the probability that he or she will get a cold next year? What is the probability that an employee who is not involved in an exercise program will get a cold next year? Are exercising and getting a cold independent events? Explain your answer."
Our class is creating a new academic team, the Data Managers. The team will have 4 members to perform different tasks: collector, analyser, grapher, and recorder. 10 people in class want to be on the team, so we pick a random team out of the 10. a. If exactly 4 boys volunteer, what is the probability that the team is all boys or no boys? Evaluate your answer. b. What is the probability that Student 1 and Student 2 are on the team? Evaluate your answer. c. With two teacher coaches, the team of four takes a picture (6 people in picture). What is the probability that the teachers are together in the picture? Evaluate your answer.
3. Twenty five percent of a town's voters favor letting a major discount store move into their neighbourhood, 60% are against it and 15% are indifferent. What is the probability that a randomly selected voter from this town will either be against it or be indifferent?
Police records show that for a certain area in Arendale, when the driver of a car double parks, 60% of these cars are towed away. What is the probability that out of 6 cars who double park, 4 will not be towed away?