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A cell phone company says that a fully charged battery lasts 14 hours. In reality, each battery behaves a little differently. For a large quantity of fully charged batteries, the mean length of time that batteries last is 14 hours, with a standard deviation of 1 hour. Assume that the lengths of time that battery charges last can be modeled by a normal distribution.

(a) What percent of fully charged cell phone batteries would be expected to last longer than 14 hours?

(b) What percent of fully charged cell phone batteries would be expected to last between 12 and 14 hours?

(c) What percent of fully charged cell phone batteries would be expected to last less than 15 hours?

(d) Would it be surprising if a fully charged cell phone battery lasted more than 17 hours? Explain why or why not.

Answer :

The percentage is 50%

From the question we are told that

The mean is μ= 14 hours

The standard deviation is σ=1 hour

Generally on the normal distribution curve the mean divides the curve into two. with the half to the left of the mean (50% to the left )representing the percentage of the batteries that will last less than 14 hours and the area under the curve to the right (50% to the right)representing the percentage of batteries that will last longer than mean (14 hours )

Hence the percentage of the cell phone batteries that will be expected to last longer than 14 hours is 50%

Learn more about normal distribution here:

https://brainly.com/question/13895606

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