Tire pressure monitoring system (TPMS) warns the driver when the tire pressure of the vehicle is 27% below the target pressure. Suppose the target pressure of a certain car is 30 psi.

(a) At what psi will the TPMS trigger a warning for this car? ( 2 decimal places)

(b) Suppose tire pressure is a normally distributed random vehicle 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 to 4 decimal places)

(c) The manufacturer's recommended correct inflation range is 28 psi to 32 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 to 4 decimal places.