Question
ire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure. Suppose the target tire
ire 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 30 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.)
(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.)
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