Answered: Battery lifetime is normally…

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

Battery lifetime is normally distributed for large samples. The mean lifetime is 500 days and the standard deviation is 61 days.

a) Find the distribution by filling in the blanks:

?~?( __,__ )

b) Find the probability of batteries that have lifetimes longer than 561 days? Round to 4 decimals.

c) Find the probability of batteries that have lifetimes at most 497 days? Round to 4 decimals.

d) Find the 75th percentile. Round to 1 decimal

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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