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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 below 21.46 psi.

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 below 21.46 psi.

MATLAB: An Introduction with Applications
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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Please see attachment below. I just need the correct answer for (b) 

**Tire Pressure Monitoring Systems (TPMS) Educational Overview** Tire pressure monitoring systems (TPMS) serve an essential role in automotive safety by alerting drivers when the tire pressure falls significantly below the optimal level. Understanding how TPMS functions can help in maintaining vehicle efficiency and safety. ### Scenario: Suppose the target tire pressure of a certain car is 29 psi (pounds per square inch). This educational module explores the conditions under which TPMS will trigger a warning and the statistical nature of tire pressure distribution. ### (a) Triggering a TPMS Warning TPMS will warn the driver when the tire pressure of the vehicle is 26% below the target pressure. To calculate this pressure level: - **Target Pressure**: 29 psi - **Threshold for Warning**: 26% below target \[ \text{Warning Pressure} = 29 \times (1 - 0.26) = 21.46 \, \text{psi} \] Thus, the TPMS will trigger a warning when the tire pressure is below **21.46 psi**. ### (b) Probability of Warning This section examines the probability of a TPMS warning if the tire pressure is a normally distributed random variable with a standard deviation of 2 psi. Assuming the car's average tire pressure is on target, we calculate this probability. ### Calculated Probability - **Standard Deviation**: 2 psi - **Calculated Probability**: **0.8163** This implies that when the tire pressure is distributed around the target with a standard deviation of 2 psi, there is an 81.63% probability that the TPMS will issue a warning. --- These insights allow better understanding and management of tire pressure, contributing to safer and more efficient driving experiences.
Transcribed Image Text:**Tire Pressure Monitoring Systems (TPMS) Educational Overview** Tire pressure monitoring systems (TPMS) serve an essential role in automotive safety by alerting drivers when the tire pressure falls significantly below the optimal level. Understanding how TPMS functions can help in maintaining vehicle efficiency and safety. ### Scenario: Suppose the target tire pressure of a certain car is 29 psi (pounds per square inch). This educational module explores the conditions under which TPMS will trigger a warning and the statistical nature of tire pressure distribution. ### (a) Triggering a TPMS Warning TPMS will warn the driver when the tire pressure of the vehicle is 26% below the target pressure. To calculate this pressure level: - **Target Pressure**: 29 psi - **Threshold for Warning**: 26% below target \[ \text{Warning Pressure} = 29 \times (1 - 0.26) = 21.46 \, \text{psi} \] Thus, the TPMS will trigger a warning when the tire pressure is below **21.46 psi**. ### (b) Probability of Warning This section examines the probability of a TPMS warning if the tire pressure is a normally distributed random variable with a standard deviation of 2 psi. Assuming the car's average tire pressure is on target, we calculate this probability. ### Calculated Probability - **Standard Deviation**: 2 psi - **Calculated Probability**: **0.8163** This implies that when the tire pressure is distributed around the target with a standard deviation of 2 psi, there is an 81.63% probability that the TPMS will issue a warning. --- These insights allow better understanding and management of tire pressure, contributing to safer and more efficient driving experiences.
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