Tire pressure monitoring systems(TPMS) warn the drive when the tire pressure of the vehicle is 26% below the target pressure. Suppose the target pressure of a car is 32 psi. a) At what psi will the TPMS trigger a warning for this car?
Tire pressure monitoring systems(TPMS) warn the drive when the
tire pressure of the vehicle is 26% below the target pressure. Suppose the target pressure of a car is 32 psi.
a) At what psi will the TPMS trigger a warning for this car?
b) Suppose the tire pressure is a normally distributed random variable with a standard deviation equal to 2psi. If the car’s average tire pressure is on target, what is the probability that the TPMS will trigger a warning? ( my answer was way too high, so I know I’m doing something wrong. I need the methods/ explanation in plain language)
c)The manufacturer’s recommend correct inflation range is 30psi to 34 psi. Assume the tire’s 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? (again, I’m not confident I know the method for solving this.)
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