Question

In: Statistics and Probability

A line of high-end tires produced by a large company has a wear-out life that can...

A line of high-end tires produced by a large company has a wear-out life that can be modeled using a normal distribution with a mean of 25,000 miles and a standard of 2,000 miles. Determine each of the following a- -The percentage of tires that can be expected to wear-out within +or- (plus or minus) 2,000 miles of the average (for example between 23,000 miles and 27,000) b- -The percentage of tires that can be expected to fail between 26,000 miles and 29,000 miles Note: the term percentage refers to a probability

Solutions

Expert Solution

a)

The following information has been provided:

We need to compute :

The corresponding z-values needed to be computed are:


Therefore, we get:



The following is obtained graphically:

b)

The following is obtained graphically:

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