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 (pounds per square inch) (a) At what psi will the TPMS trigger a warning for this car? ( Round your answer to 2 decimals) When tire pressure is below ______psi (b) Suppose the tire pressure is a normally distributed random variable with a standard deviation equal to 3 psi. If the cars average tire pressure is on target , what is the probability that the TPMS will trigger a warning (Round 4 decimls) Probability ? (c) The manufactures recommended correct inflation range is 29 psi to33 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 tires inflation is within the recommended range? (Round your intermediate calculations and final answer to 4 decimals).
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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 (pounds per square inch)
(a) At what psi will the TPMS trigger a warning for this car? ( Round your answer to 2 decimals)
When tire pressure is below ______psi
(b) Suppose the tire pressure is a
Probability ?
(c) The manufactures recommended correct inflation
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
