Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 24% 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.) (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.) (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.)
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 24% 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.)
(b) Suppose tire pressure is a
(c)The manufacturer’s recommended correct inflation
![**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:**
There is a blank rectangle labeled "Probability" below the text.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9687b9d7-a6e5-4274-859a-1ad47e7da2c7%2Fbb49d555-3832-476a-9f7d-b3e02ee6718d%2F19zw3_processed.jpeg&w=3840&q=75)
![Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 24% 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.)**
```
When the tire pressure is __________ 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 __________
```](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9687b9d7-a6e5-4274-859a-1ad47e7da2c7%2Fbb49d555-3832-476a-9f7d-b3e02ee6718d%2Ff97x4g_processed.jpeg&w=3840&q=75)
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