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Tire pressure monitoring systems [TPMSJ warn the driver when the tire pressure ofthe vehicle is 28% below the target pressure. Suppose the target tire pressure

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Tire pressure monitoring systems [TPMSJ warn the driver when the tire pressure ofthe vehicle is 28% below the target pressure. Suppose the target tire pressure ofa certain car is 30 psi [pounds per square inch.) to} At what psi will the TPMS trigger a warning for this car? [Round your answer to 2 decimal place.) {b} Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 2 psi. lfthe car's average tire pressure is on target, what is the probability that the TPMS will trigger a warning? (Round your answer to 4 decimal places-) (c) The manufacturer's recommended correct inflation range is 28 psi to 32 psi. Assu me the tires' average psi is on target. If a tire on the car is inspected at random, what is the probability that the tire's inflation is within the recommended range? (Round your intermediate calculations and final answer to 4 decimal places} Probability

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