The number of driving miles before a certain kind of tire begins to show wear is on the average of 16,800 miles with standard deviation of 3,300 miles. A car rental agency buys 36 of these tires for replacement purposes and puts each one on a different car. a. What is the probability that the 36 tires will average less than 16,000 miles until they begin to show wear? b. What is the probability that the 36 tires will average more than 18,000miles until they begin to show wear?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The number of driving miles before a certain kind of tire begins to show wear is
on the average of 16,800 miles with standard deviation of 3,300 miles. A car
rental agency buys 36 of these tires for replacement purposes and puts each
one on a different car.
a. What is the probability that the 36 tires will average less than 16,000 miles
until they begin to show wear?
b. What is the probability that the 36 tires will average more than 18,000miles
until they begin to show wear?
Transcribed Image Text:The number of driving miles before a certain kind of tire begins to show wear is on the average of 16,800 miles with standard deviation of 3,300 miles. A car rental agency buys 36 of these tires for replacement purposes and puts each one on a different car. a. What is the probability that the 36 tires will average less than 16,000 miles until they begin to show wear? b. What is the probability that the 36 tires will average more than 18,000miles until they begin to show wear?
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