Probability Calculations and Mileage Guarantee Exercise
Practice solving probability and normal distribution problems related to IQ test scores and tire mileage guarantees. Calculate the probabilities of scoring less than 90, between 90 and 110, and between 82.5 and 90 on an IQ test with a mean of 100 and standard deviation of 10. Determine the minimum guaranteed mileage Layton Tire and Rubber Company should announce for its MX100 tire to ensure that no more than 4% of tires will need to be replaced based on a mean mileage of 67,900 and standard deviation of 2,050.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.
E N D
Presentation Transcript
EXERCISE Suppose scores on an IQ test are normally distributed. If the test has a mean of 100 and a standard deviation of 10. What is the probability that a person who takes the test will score less than 90? What is the probability that a person who takes the test will score between 90 and 110? What is the probability that a person who takes the test will score between 82.5 and 90?
EXERCISE Layton Tire and Rubber Company wishes to set a minimum mileage guarantee on its new MX100 tire. Tests reveal the mean mileage is 67,900 with a standard deviation of 2,050 miles and that the distribution of miles follows the normal probability distribution. It wants to set the minimum guaranteed mileage so that no more than 4 percent of the tires will have to be replaced. What minimum guaranteed mileage should Layton announce?
