Answered: . Let X be the distance in kilometers…

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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Question

1. Let X be the distance in kilometers that a tyre travels before being replaced. Historical data suggests that X is normally distributed with mean 60,000 and coefficient of variation 0.25.

- What is the probability that a tyre is replaced after traveling more than 72,000 kilometers? The probability is?

- Among all the tyres that were replaced in the last 5 years, what proportion of them travelled between 52,500 and 66,000 kilometers? The proportion is ?

- A tyre manufacturer plans to offer a warranty to its customers. The warranty promises to refund the customer $100 if the tyre does not last for 45,000 kilometers. What is the expected cost per tyre of this warranty in dollars? The expect cost is ?

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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