Answered: 1. Say that you will have to wait for a…

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. Solve the following. Show your complete solution.

1. Say that you will have to wait for a bus. Assume that the amount of waiting time is normally distributed between 0 and 15 minutes. Suppose that the mean time of a person is 8 minutes and the standard deviation is 1.8. What is the probability that you will wait for less than 12.5 minutes?

2. The length of time between charges of the battery of laptops is normally distributed with a mean of 45 hours and a standard deviation of 12 hours. Fiel owns one of these laptops and wants to know the probability that the length of time will be between 50 and 70 hours.

3. The length of life of an ordinary flashlight produced by a company has a normal distribution with a mean of 36 months and a standard deviation of 5 months. Find the probability that the flashlight produced by the company will last (a) more than 18 months, (b) between 17 and 32 months.

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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