The pressure monitoring systems warn the driver when the tire pressure of the vehicle is 26% below the target pressure. Supposed to Target tire pressure of a certain car is 32 psi then 18Tire 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 certaln car is 32 psi (pounds per square inch.)(a) At what psi will the TPMS trigger a warning for this car? (Round your answer to 2 declmal place.)When the tire pressure isppedpsi(b) Suppose tire pressure is a normally distributed random variable with a standard devlatlion equal to 2 psl. If the car's average tirepressure 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 psl to 34 psi. Assume the tires' average psi is on target. If a tire onthe car Is Inspected at random, what is the probability that the tire's Inflation Is within the recommended range? (Round yourIntermedlate calculatlons and final answer to 4 declmal places.)Probability

Given : The Target pressure = 32 psi (a) TPMS triggers a warning at 26% below the target. TPMS warns at below (32 - 32*0.26) = 23.68 psi (b) Let X be the tire pressure s = 2 P(X<23.68) = P(Z<(23.68-32)/2) = P(Z<-4.16) = 0.0000 (c)P(30<X<34)= P((30-32)/2 < Z < (34-32)/2) = P(-1<Z<1) = P(Z<1) - P(Z<-1) = 0.8413 - 0.1587 = 0.6826