Question
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 28% below the target pressure. Suppose the target tire
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 28% below the target pressure. Suppose the target tire pressure of a certain car is 28 psi (pounds per square inch)
A) At what psi will the TPMS trigger a warning for this car? (round to 2 decimal places) When the tire pressure is below ______________psi
B) Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 3psi. If the cars average tire pressure is on target, what is the probability that the TPMS will trigger a warning? (round to 4 decimal places)
Probability=__________________________
C) The manufacturers recommended correct inflation range is 26 psi to 30 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 tires inflation is within the recommended range? (round to 4 decimal places)
Probability=_______________________________
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