Tire pressure monitoring system (TPMS) warm 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 32 psi (pounds per square inch).
(A) at what psi will the TPMS trigger a warning for this car?
(B) suppose tire pressure is a normally distributed random variable wit 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 answer to 4 decimals)
(C) The manufactures recommended correct inflation range is 30 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 tires inflation is within the recommended range? (Round calculations and final answer to 4 decimal places.)