5. Assume a certain tire manufacturer produces a new tire. Tests show that the number of miles these tires last before blow-out has a normal distribution with mean 60,000 miles and standard deviation 4000 miles. (a) Should they warrant their tires for 60,000 miles? Why or why not? (b) If they warrant their tires for 52,000 miles, what percentage of the tires would they expect to blow out while still under warranty? (c) If they warrant their tires for 50,000 miles, what percentage of the tires would they expect to blow out while still under warranty?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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5. Assume a certain tire manufacturer produces a new tire. Tests show that the number of miles these tires
last before blow-out has a normal distribution with mean 60,000 miles and standard deviation 4000 miles.
(a) Should they warrant their tires for 60,000 miles? Why or why not?
(b) If they warrant their tires for 52,000 miles, what percentage of the tires would they expect to blow out
while still under warranty?
(c) If they warrant their tires for 50,000 miles, what percentage of the tires would they expect to blow out
while still under warranty?
Transcribed Image Text:5. Assume a certain tire manufacturer produces a new tire. Tests show that the number of miles these tires last before blow-out has a normal distribution with mean 60,000 miles and standard deviation 4000 miles. (a) Should they warrant their tires for 60,000 miles? Why or why not? (b) If they warrant their tires for 52,000 miles, what percentage of the tires would they expect to blow out while still under warranty? (c) If they warrant their tires for 50,000 miles, what percentage of the tires would they expect to blow out while still under warranty?
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