Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure. Suppose the target tire pressure of a certain car is 32 psi (pounds per...

Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure. Suppose the target tire pressure of a certain car is 32 psi (pounds per square inch.)

(b)
Suppose tire pressure is a normally distributed random variable with a 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.)

Probability

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