Tire Pressure monitoring systems (TPMS) warns the driver when the tire pressure is 26% below the target pressure. Suppose the target tire pressure of certain car is 30 psi (pounds per square inch.)

a. At what psi will the TPMS trigger a warning for this car?

when the tire pressure is below psi

b. suppose tire pressure is normally distributed random variable with standard deviation equal to 2 PSI. If the car's average tire pressure is on target, what is the probability that the TPMS will trigger a warning? (round your answer 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?