Grear Tire Company has produced a new tire with an estimated mean lifetime mileage of 33,500 miles. Management also believes that the standard deviation is 4,500 miles and that tire mileage is normally distributed. To promote the new tire, Grear has offered to refund a portion of the purchase price if the tire fails to reach 30,000 miles before the tire needs to be replaced. Specifically, for tires with a lifetime below 30,000 miles, Grear will refund a customer $1 per 100 miles short of 30,000. Construct a simulation model to answer the following questions. (Use at least 1,000 trials.) (a) For each tire sold, what is the average cost of the promotion (in $)? (Round your answer to two decimal places.) $14.33 X (b) What is the probability that Grear will refund more than $25 for a tire? (Round your answer to three decimal places.) 0.092 ✓

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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i am not sure why part a is incorrect. i tried 14.22 as well and it was marked incorrect.

Grear Tire Company has produced a new tire with an estimated mean lifetime mileage of 33,500 miles. Management also believes that the standard deviation is 4,500 miles and that tire mileage is normally distributed. To promote the new tire, Grear has offered to
refund a portion of the purchase price if the tire fails to reach 30,000 miles before the tire needs to be replaced. Specifically, for tires with a lifetime below 30,000 miles, Grear will refund a customer $1 per 100 miles short of 30,000. Construct a simulation model to
answer the following questions. (Use at least 1,000 trials.)
(a) For each tire sold, what is the average cost of the promotion (in $)? (Round your answer to two decimal places.)
$14.33 X
(b) What is the probability that Grear will refund more than $25 for a tire? (Round your answer to three decimal places.)
0.092
Transcribed Image Text:Grear Tire Company has produced a new tire with an estimated mean lifetime mileage of 33,500 miles. Management also believes that the standard deviation is 4,500 miles and that tire mileage is normally distributed. To promote the new tire, Grear has offered to refund a portion of the purchase price if the tire fails to reach 30,000 miles before the tire needs to be replaced. Specifically, for tires with a lifetime below 30,000 miles, Grear will refund a customer $1 per 100 miles short of 30,000. Construct a simulation model to answer the following questions. (Use at least 1,000 trials.) (a) For each tire sold, what is the average cost of the promotion (in $)? (Round your answer to two decimal places.) $14.33 X (b) What is the probability that Grear will refund more than $25 for a tire? (Round your answer to three decimal places.) 0.092
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