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Tire pressure ,monitoring system (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 30 psi (pounds per square inch).
a. at what psi will the TPMS trigger a warning for this car? (round your answer to 2 decimal place) when the tire pressure is below ( ? ) PSI.
B. Suppose tire pressure is a normally distributed random variable with a deviation equal to 2 psi. If the cars average tire pressure is on target, what is the probability that the TPMS will trigger a warning?( round your answer to 4 decimal places>)
Probability =
C. The manufactures recommended correct inflation range is 28 psi to 32 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 intermediate calculations and final answer to 4 decimal places).
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