Tire lifetimes: The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean μ=41and standard deviation σ=4.Use the TI-84 Plus calculator to answer the following.(a) Find the 29th percentile of the tire lifetimes.(b) Find the 66th percentile of the tire lifetimes.(c) Find the first quartile of the tire lifetimes.(d) The tire company wants to guarantee that its tires will last at least a certain number of miles. What number of miles (in thousands) should the company guarantee so that only 4% of the tires violate the guarantee?Round the answers to at least two decimal places.

For the distribution of the lifetime (in thousands of miles) of the specified automobile tires, it…

Answered: Tire lifetimes: The lifetime of a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Tire lifetimes: The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean μ=41and standard deviation σ=4.

Use the TI-84 Plus calculator to answer the following.

(a) Find the 29th percentile of the tire lifetimes.

(b) Find the 66th percentile of the tire lifetimes.

(d) The tire company wants to guarantee that its tires will last at least a certain number of miles. What number of miles (in thousands) should the company guarantee so that only 4% of the tires violate the guarantee?

Round the answers to at least two decimal places.

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