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 30 psi (pounds per square inch)

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

When the tire pressure is above/below ______ psi

b. Suppose tire pressure is a normally distributed random variable with 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 answer to 4 decimal places.

Probability =

c. Manufacturers 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 tires inflation is within the recommended range? Round intermediate calculations and final answer 4 decimal places.

Probability =