Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 27% below the target pressure. Suppose the target tire pressure of a certain car is 31 psi. A. Pressure +31(27% of 31)= When tire pressure is below 22.63, the TPMS triggers a warning for the car. B. Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 2 psi. If the car’s average tire pressure is on target, what is the probability that the TPMS will trigger a warning? The probability the TPMS will trigger a warning Prob+P(X<=22.63); =P(X-u/a<=22.63-31/2); =P(z<=-4.185 Norm Distribution); Probability=.00011 C. The manufacturer’s recommended correct inflation range is 29 psi to 33 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 tire’s inflation is within the recommended range? Probability = ? I'd like to understand how to arrive at the answer. Thank you!
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 27% below the target pressure. Suppose the target tire pressure of a certain car is 31 psi.
A. Pressure +31(27% of 31)= When tire pressure is below 22.63, the TPMS triggers a warning for the car.
B. Suppose tire pressure is a
The probability the TPMS will trigger a warning Prob+P(X<=22.63); =P(X-u/a<=22.63-31/2); =P(z<=-4.185 Norm Distribution); Probability=.00011
C. The manufacturer’s recommended correct inflation
Probability = ? I'd like to understand how to arrive at the answer.
Thank you!
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