Tire pressure monitoring system (TPMS) warn the driver when the tire pressure of a vehicle is 27% below the target pressure.

Suppose the target tire pressure of a certain car is 32 psi.

At what psi TPMS trigger a warning for this car? Round your answer to 2 decimal points.

when the tire pressure is _____, _______ psi

Suppose tire pressure is a normally distributed random variable 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?

probability _______

The manufacturer's recommended correct inflation range is 30 psi to 34psi. 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 your intermediate calculations and final answer to 4 decimal places. )

Probability _______