Answered: Suppose the length of time an iPad…

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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Suppose the length of time an iPad battery lasts can be modeled by a normal distribution with meanμ= 8.2 hours and standard deviationσ= 1.2 hours. a. What is the probability that randomly selected iPad lasts longer than 10 hours?b. What is the probability that a randomly selected iPad lasts between 7 and 10hours?c. What is the 3rd percentile of the battery times?d. Suppose 16 iPads are randomly selected. What is the probability that the mean longevity ̄Xis less than 7.9 hours?

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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