The lifetimes of the tread of a certain automobile tire are normally distributed with mean 45,000 miles and standard deviation 3,000 miles. For each of the questions below make sure to show your work. Round any z-score calculated to two decimal places to find your result. 1. What percent of tires have a tread life between 39,000 and 51,000 miles? 2. The manufacturer wants to know what percent of times tread life is less than 37,500 miles. 3. Find the tread life for the 90th percentile. Round to nearest integer (if needed)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The lifetimes of the tread of a certain automobile tire are normally distributed with mean 45,000 miles and standard deviation 3,000
miles.
For each of the questions below make sure to show your work. Round any z-score calculated to two decimal places to find your result.
1. What percent of tires have a tread life between 39,000 and 51,000 miles?
2. The manufacturer wants to know what percent of times tread life is less than 37,500 miles.
3. Find the tread life for the 90th percentile. Round to nearest integer (if needed)
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Transcribed Image Text:The lifetimes of the tread of a certain automobile tire are normally distributed with mean 45,000 miles and standard deviation 3,000 miles. For each of the questions below make sure to show your work. Round any z-score calculated to two decimal places to find your result. 1. What percent of tires have a tread life between 39,000 and 51,000 miles? 2. The manufacturer wants to know what percent of times tread life is less than 37,500 miles. 3. Find the tread life for the 90th percentile. Round to nearest integer (if needed) - No text entered - Hide Feedback
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