The lifetime of a battery in a certain application is normally distributed with

Question

The lifetime of a battery in a certain application is normally distributed with mean -16 hours and standard deviation -2 hours. References eBook & Resources Section Break Difficulty. Easy Chapter: 04 Commonly Used Section: 04.05 The Normal Distribution Distributions 2.17 points A particular battery lasts 14.5 hours. What percentile is its lifetime on? Round the answer to two decimal places. A lifetime of 14.5 is on the-1133 th percentile, approximately. Hints References eBook & Resources Hint#1 3

Explanation / Answer

A particular battery last 14.5 hours. What percentile is its lifetime on?

=P(X<14.5)
= P(Z<(14.5-16)/2)
=P(Z< -0.75)
=1P ( Z<0.75 )
=10.7734
=0.2266(from standard normal table)

i.e. 22.66%

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