Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 28% 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 _______ (above/below) _______ psi. (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? (Round your answer to 4 decimal places.) Probability = _______ (c) The manufacturer’s 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 tire’s inflation is within the recommended range? (Round your intermediate calculations and final answer to 4 decimal places.) Probability = _______

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Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 28% 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 _______ (above/below) _______ psi.

 

(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? (Round your answer to 4 decimal places.)

Probability = _______

 

(c) The manufacturer’s 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 tire’s inflation is within the recommended range? (Round your intermediate calculations and final answer to 4 decimal places.)

Probability = _______

**Tire Pressure Monitoring Systems (TPMS) Analysis**

Tire pressure monitoring systems (TPMS) alert the driver when the tire pressure of the vehicle is 28% 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 places.)*

- The section contains a fill-in box that asks for the psi value at which the TPMS will trigger a warning.

**(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? *(Round your answer to 4 decimal places.)*

- The section has a fill-in box for calculating the probability that the TPMS will give a warning if the tire pressure is normally distributed with a given standard deviation.

Please calculate and enter the values for both parts based on the given conditions.
Transcribed Image Text:**Tire Pressure Monitoring Systems (TPMS) Analysis** Tire pressure monitoring systems (TPMS) alert the driver when the tire pressure of the vehicle is 28% 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 places.)* - The section contains a fill-in box that asks for the psi value at which the TPMS will trigger a warning. **(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? *(Round your answer to 4 decimal places.)* - The section has a fill-in box for calculating the probability that the TPMS will give a warning if the tire pressure is normally distributed with a given standard deviation. Please calculate and enter the values for both parts based on the given conditions.
**Text:**

(c) The manufacturer’s 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 tire’s inflation is within the recommended range? **(Round your intermediate calculations and final answer to 4 decimal places.)**

**Diagram:**

Below the text, there is a field labeled "Probability" followed by an empty input box indicating where to enter the probability calculation.
Transcribed Image Text:**Text:** (c) The manufacturer’s 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 tire’s inflation is within the recommended range? **(Round your intermediate calculations and final answer to 4 decimal places.)** **Diagram:** Below the text, there is a field labeled "Probability" followed by an empty input box indicating where to enter the probability calculation.
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