Answered: The life of a cellphone battery has a…

The life of a cellphone battery has a lognormal distribution with μ = 4.5 and o= 0.4 (the mean and standard deviation of Inx). What proportion of battery lifetime values are at least 125 hours?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

The life of a cellphone battery has a lognormal distribution with μ = 4.5 and o= 0.4 (the mean
and standard deviation of Inx). What proportion of battery lifetime values are at least 125 hours?

Expert Solution

Step 1: Introduce the given information

Given,

Mean, μ = 4.5

Standard deviation, σ = 0.4

And the distribution is lognormal distribution.

Let X be a random variable representing the battery lifetime values.

Using formula,

$Z minus s c o r e equals fraction numerator ln X minus mu over denominator sigma end fraction$

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