The lifetime of a battery in a certain application is normally distributed with mean u = 16 hours and standard deviation o = 2 hours. a. What is the probability that a battery will last more than 19 hours? b. Find the 1Oth percentile of the lifetimes. c. A particular battery lasts 14.5 hours. What percentile is its lifetime on? d. What is the probability that the lifetime of a battery is between 14.5 and 17 hours?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The lifetime of a battery in a certain application is normally distributed with mean u = 16 hours and
standard deviation o
2 hours.
a. What is the probability that a battery will last more than 19 hours?
b. Find the 10th percentile of the lifetimes.
c. A particular battery lasts 14.5 hours. What percentile is its lifetime on?
d. What is the probability that the lifetime of a battery is between 14.5 and 17 hours?
Transcribed Image Text:The lifetime of a battery in a certain application is normally distributed with mean u = 16 hours and standard deviation o 2 hours. a. What is the probability that a battery will last more than 19 hours? b. Find the 10th percentile of the lifetimes. c. A particular battery lasts 14.5 hours. What percentile is its lifetime on? d. What is the probability that the lifetime of a battery is between 14.5 and 17 hours?
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