A tire manufacturer believes that the tread life of its snow tires can be described by a Normal model with a mean of 31 000 miles and a standard deviation of 2500 miles. Complete parts a through e below. Question content area bottom Part 1 a) If you buy a set of these tires, would it be reasonable for you to hope that they'll last 36 000 miles? Explain. About 2.3% of tires are expected to have a tread life greater than 36 000 miles. It would not be reasonable to hope that your tires lasted this long. (Round to one decimal place as needed.) Part 2 b) Approximately what fraction of these tires can be expected to last less than 27 000 miles? About 5.5% of these tires can be expected to last less than 27 000 miles. (Round to one decimal place as needed.) Part 3 c) Approximately what fraction of these tires can be expected to last between 27 000 and 35 000 miles? About 89.0% of these tires can be expected to last between 27 000 and 35 000 miles. (Round to one decimal place as needed.) Part 4 d) Estimate the interquartile range (IQR) for these data. The IQR is 3373 miles. (Round to the nearest mile as needed.) Part 5 e) In planning a marketing strategy, a local tire dealer wants to offer a refund to any customer whose tires fail to last a certain number of miles. However, the dealer does not want to take too big of a risk. If the dealer is willing to give refunds to no more than 1 of every 25 customers, for what mileage can he guarantee these tires to last? The tire dealer can guarantee these tires last at least enter your response here miles.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question content area bottom

Part 1

a) If you buy a set of these tires, would it be reasonable for you to hope that they'll last

36 000

miles? Explain.

About

2.3%

of tires are expected to have a tread life greater than

36 000

miles. It

would not

be reasonable to hope that your tires lasted this long.

(Round to one decimal place as needed.)

Part 2

b) Approximately what fraction of these tires can be expected to last less than

27 000

miles?

About

5.5%

of these tires can be expected to last less than

27 000

miles.

(Round to one decimal place as needed.)

Part 3

c) Approximately what fraction of these tires can be expected to last between

27 000

and

35 000

miles?

About

89.0%

of these tires can be expected to last between

27 000

and

35 000

miles.

(Round to one decimal place as needed.)

Part 4

d) Estimate the interquartile range (IQR) for these data.

The IQR is

3373

miles.

(Round to the nearest mile as needed.)

Part 5

e) In planning a marketing strategy, a local tire dealer wants to offer a refund to any customer whose tires fail to last a certain number of miles. However, the dealer does not want to take too big of a risk. If the dealer is willing to give refunds to no more than 1 of every

customers, for what mileage can he guarantee these tires to last?

The tire dealer can guarantee these tires last at least

enter your response here

miles.

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