Tire pressure monitoring systems (TPMS)

when the driver when the tire pressure of the vehicles 24% below the target pressure. Supposed to target tire pressure of a certain cars 29 psi parentheses pounds per square inch.

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

Answer: When the tire pressure is below 22.04 psi.

b.) Suppose tire pressure is normally distributed random variable with a standard deviation equal to three psi. If the cars average tire pressure is on target what is the probability that the tea PMS will trigger a warning? Round your answer to for decimal places.

Answer: Probability .0102

c.) The manufactures recommended correct inflation range is 27 psi to 31 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 your media calculations and final answer to 4 decimal places.)

Answer : Probability