The life of a certain type of automobile tire is normally distributed with mean 34,000 miles and standard deviation 4000 miles.
(a) What is the probability that such a tire lasts more than 40.000 miles?
(b) What is the probability that it lasts between 30,000 and 35.000 miles?
(c) Given that if has survived 30,000 miles, what is the conditional probability that the tire survives another 10,000 miles?
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