Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 25% below the target pressure. Suppose the target tire pressure of a certain car is 32 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            (Click to select)   above   below   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           ____

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Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 25% below the target pressure. Suppose the target tire pressure of a certain car is 32 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            (Click to select)   above   below   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           ____

 
 
 
 
 
 
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