) 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…

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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) 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?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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