Tire pressure monitoring systems warn the driver when the tire pressure of the vehicle is 25% below the target pressure. Suppose the target tire pressure of a certain car is 32 psi. a.) at what psi...

Tire pressure monitoring systems warn the driver when the tire pressure of the vehicle is 25% below the target pressure. Suppose the target tire pressure of a certain car is 32 psi.

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

When tie pressure is (above of below) ___ psi.

b.)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. (Round your answer to 4 decimal places.)

c.) The manufacturer's recommended correct inflation range is 30 psi to 40 psi. Assumer 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 calcculations and final answer to 4 decimal places.)