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) 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
Probability = _______
(c) The manufacturer’s recommended correct inflation
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9687b9d7-a6e5-4274-859a-1ad47e7da2c7%2Fb4a08ffd-099d-4d4e-99e5-79f4493db5d7%2Fraip35_processed.jpeg&w=3840&q=75)
![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9687b9d7-a6e5-4274-859a-1ad47e7da2c7%2Fb4a08ffd-099d-4d4e-99e5-79f4493db5d7%2Fzwm0kip_processed.jpeg&w=3840&q=75)
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