Suppose that the lifetimes of tires of a certain brand are normally distributed with a mean of 74000 miles and a standard deviat

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Suppose that the lifetimes of tires of a certain brand are normally distributed with a mean of 74000 miles and a standard deviat

ion of miles. these tires come with a -mile warranty. the manufacturer of the tires can adjust during the production process, but the adjustment of is quite costly. the manufacturer wants to set once and for all so that only of the tires will fail before warranty expires. find the standard deviation to be set. carry your intermediate computations to at least four decimal places. round your answer to at least one decimal place.

Mathematics

1 answer:

spayn [35] · Answer 1 · 2023-05-26T22:55:51+03:00

The standard deviation will be 6816.9645.

<h3>How to compute the standard deviation?</h3>

From the information given, the mean is 74000 and X is given as 60000.

P[(Z < (-60000 - 74000)/SD] = 0.02

Note that 0.02 will be -2.0537 under the normal distribution table.

-14000/SD = -2.0537

SD = -14000/-2.0537

SD = 6816.9645

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