# Calculation of probability based on normal distribution

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1. The length of time a customer must wait in line at the post office has approximately a normal distribution with a mean of 5.8 minutes and a standard deviation of 2.6 minutes. Find the probability that the customer will wait between 4 and 8 minutes.

2. The lifetime of a certain brand of tire follows an approximately normal distribution with a mean of 30,000 miles and a standard deviation of 4000 miles. The probability that a tire of this brand will last between 31,000 and 36,000 miles is?

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#### Solution Summary

The solution gives the details of calculation probability of events based on Z score and normal distribution.

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