Answer to Question #303020 in Management for sarfaraz

Question

The top-selling Amar tire is rated 70,000 KMs, which 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 KMs and a standard deviation of 6,400 KMs.

 

What is the probability that a tire wears out before 70,000 KMs?

 

What is the probability that a tire lasts more than 100,000 KMs? 

Note: You may use Z-table for this. 

Answer 1

(a) probability of the tire wearing out before 70,000KMs is 0.0307.

(a) probability of the tire lasting more than 100,000KMs is 0.0025