A specific car model as a transmission with a warranty of 40,000 miles. Life of the usual transmission has a normal distribution with a mean of 72000 miles and a standard deviation of 13000 miles. 1) What percentage of the transmissions will fail before the end of the warranty period? 2) What percentage of transmissions will be good for more than 100,000 miles? 3) What is the probability that a transmission will last between 40,000 miles and 100,000 miles?

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A specific car model as a transmission with a warranty of 40,000 miles. Life of the usual transmission has a normal distribution with a mean of 72000 miles and a standard deviation of 13000 miles.

1) What percentage of the transmissions will fail before the end of the warranty period?

2) What percentage of transmissions will be good for more than 100,000 miles?

3) What is the probability that a transmission will last between 40,000 miles and 100,000 miles?

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