Answered: car is 29 psi(pounds per square inch.)…

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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Question

Tire pressure monitoring systems(TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure. Suppose the target tire pressure of a certain car is 29 psi(pounds per square inch.)

a. At what psi will the TPMS trigger a warning for this car? (Round your answer to 2 decimal place.)

When the tire pressure is ___ ____ psi.

b. Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 2 psi. If the car's average tire pressure is on target, what is the probability that the TPMS will trigger a warning? (Round your answer to 4 decimal places.).

Probability ______

c. The manufacturer's recommended correct inflation range is 27 psi to 31 psi. Assume the tire's average psi is on target. If a tire on the car is inspected at random, what is the probability that the tire's inflation is within the recommended range? (Round your intermediate calculations and final answer to 4 decimal places.)

Probability __________

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