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 28 psi. A) at what psi will the TPMS trigger a warning for this car?
B) suppose the 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 answer to 4 decimal points)
C) the manufacturers recommended correct inflation range is 26 psi to 30 psi. Assume the tires average psi is on target. If a tire on the car is inspected at Ransome, what is the probability that the tire's inflation is within the recommended range? (Round intermediate and final answer to 4 decimal points)