**Tire Pressure Monitoring Systems (TPMS) and Probability Calculations**Tire pressure monitoring systems (TPMS) alert the driver when the tire pressure of the vehicle is 25% below the target pressure. The target tire pressure for a certain car is 32 psi (pounds per square inch).**(a) At what psi will the TPMS trigger a warning for this car?**- When the tire pressure is **below 24 psi**. - *Note: The answer should be rounded to 2 decimal places.***(b) Probability of TPMS Triggering a Warning**Assume that tire pressure is a normally distributed random variable with a standard deviation of 3 psi. If the car's average tire pressure is on target, what is the probability that the TPMS will trigger a warning?- **Probability**: - *Note: The answer should be rounded to 4 decimal places.***(c) Probability of Tire Inflation Being Within the Recommended Range**The manufacturer's recommended correct inflation range is 30 psi to 34 psi. Assume the tires' 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?- **Probability**: 67% - *Note: Ensure intermediate calculations and final answers are to 4 decimal places.*

Solution: Given: The TPMS trigger warns at 25% below the target. The target tire pressure of certain…

(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 24 psi. (b) Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 3 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 30 psi to 34 psi. Assume the tires' 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 67%

(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 24 psi. (b) Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 3 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 30 psi to 34 psi. Assume the tires' 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 67%

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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