Tire 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 31 psi (pounds per square inch).

a. At what psi will the TPMS trigger a warning for this car? (Round your answer to 2 decimal places)

when the tire pressure is below-

b. Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 3 psi. If the cars average tire pressure is on target, what is the probability that the TPMS will trigger a warning? (Round your answer to 4 decimal places)

Probability-

c. The manufacturers recommended correct inflation range is 29 psi to 33 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 tires inflation is within the recommended range? (Round your intermediate calculations and final answer to 4 decimal places)

Probability-