Posted by **SANDRA** on Friday, September 16, 2011 at 11:09pm.

The top selling Red and Voss tire is rated 70,000 miles means nothing. In fact, the distance the tires can run until they wear out is a normally distributed random variable with a mean of 82,000 miles and a standard deviation of 6,400.

a. What is the probability that a tire wears out before 70,000 miles.

b. What is the probability that a tire last more than 100,000 miles?

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**Ms. Sue**, Friday, September 16, 2011 at 11:12pm
Please use the same name for your posts. Karen, Sandra, Joi.

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**andrew**, Tuesday, July 10, 2012 at 10:55pm
.6

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**Mariam Anwar**, Sunday, March 31, 2013 at 3:05am
X~N(82000,6400^2)

a) P(X<70000)=P((X-82000)/6400<(70000-82000¡ Z-table=0.0303964

P(X<70000)=0.0303964

b) P(X>100000)=P(Z>2.8125)=0.0024579

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