#8Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 27% 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?

When the tire pressure is__ __ 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 gauge is on target, what is the probability that the TPMS will trigger a warning?

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?

Probability__