) A brand of cars has a normal distribution for the lifetime of lasting time of cars. The average lifetime is 16 years with a standard deviation of 2 years.If you bought one such car today, what is the chance that your car will only last for up to 14 years? If your friend had a car of this brand for 14 years already, what is the chance that he (she) has to buy a new car in seven years? If a company bought 7 such cars, what is the probability that exactly two of them will last between 12 and 20 years? If the manufacturer want to offer a warrantee that is as attractive as possible and at the same time they don’t want to refund more than 0.5% of customers, how long the warranty should be?

The normal distribution is a continuous probability distribution that has wide applications. If X…

Answered: ) A brand of cars has a normal…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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) A brand of cars has a normal distribution for the lifetime of lasting time of cars. The average lifetime is 16 years with a standard deviation of 2 years.

If you bought one such car today, what is the chance that your car will only last for up to 14 years?

If your friend had a car of this brand for 14 years already, what is the chance that he (she) has to buy a new car in seven years?

If a company bought 7 such cars, what is the probability that exactly two of them will last between 12 and 20 years?

If the manufacturer want to offer a warrantee that is as attractive as possible and at the same time they don’t want to refund more than 0.5% of customers, how long the warranty should be?

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