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The top-selling Red and Voss tire is rated 70000 miles, which means nothing. In fact, the distance the tires can run until wear-out is a normally distributed random variable with a mean of 80000 miles and a standard deviation of 5000 miles. A. What is the probability that the tire wears out before 70000 miles? Probability = 0.0228 B. What is the probability that a tire lasts more than 86000 miles? Probability = 0.8849

The top-selling Red and Voss tire is rated 70000 miles, which means nothing. In fact, the distance the tires can run until wear-out is a normally distributed random variable with a mean of 80000 miles and a standard deviation of 5000 miles. A. What is the probability that the tire wears out before 70000 miles? Probability = 0.0228 B. What is the probability that a tire lasts more than 86000 miles? Probability = 0.8849

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Understanding Tire Longevity: A Statistical Insight** The top-selling Red and Voss tire is rated 70,000 miles, but this figure is not necessarily indicative of actual performance. The distance these tires can run until wear-out is modeled as a normally distributed random variable with a mean of 80,000 miles and a standard deviation of 5,000 miles. **A. Probability of Wearing Out Before 70,000 Miles** - **Question:** What is the probability that the tire wears out before reaching 70,000 miles? - **Probability:** 0.0228 This means there is a 2.28% chance that a tire will not reach the 70,000-mile mark before wearing out. **B. Probability of Lasting More Than 86,000 Miles** - **Question:** What is the probability that a tire lasts more than 86,000 miles? - **Probability:** 0.8849 This indicates an 88.49% likelihood that the tire will surpass 86,000 miles before wearing out.
Transcribed Image Text:**Understanding Tire Longevity: A Statistical Insight** The top-selling Red and Voss tire is rated 70,000 miles, but this figure is not necessarily indicative of actual performance. The distance these tires can run until wear-out is modeled as a normally distributed random variable with a mean of 80,000 miles and a standard deviation of 5,000 miles. **A. Probability of Wearing Out Before 70,000 Miles** - **Question:** What is the probability that the tire wears out before reaching 70,000 miles? - **Probability:** 0.0228 This means there is a 2.28% chance that a tire will not reach the 70,000-mile mark before wearing out. **B. Probability of Lasting More Than 86,000 Miles** - **Question:** What is the probability that a tire lasts more than 86,000 miles? - **Probability:** 0.8849 This indicates an 88.49% likelihood that the tire will surpass 86,000 miles before wearing out.
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