Suppose that a market research analyst for a cell phone company conducts a study of their customers who exceeds the time allowance included on their basic cell phone contract. The analyst finds that for those people who exceed the time included in their basic contract, the excess time used follows an exponential distribution with a mean of 30 minutes. Consider a random sample of 65 customers who exceed the time allowance included in their basic cell phone contract. In an exponential distribution mean and standard deviation values are same. Find the probability that the mean excess time used by the 65 customers in the sample is longer than 28 minutes.

MATLAB: An Introduction with Applications
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Suppose that a market research analyst for a cell phone company conducts a study of their customers who exceeds the time allowance included on their basic cell phone contract. The analyst finds that for those people who exceed the time included in their basic contract, the excess time used follows an exponential distribution with a mean of 30 minutes. Consider a random sample of 65 customers who exceed the time allowance included in their basic cell phone contract. In an exponential distribution mean and standard deviation values are same. Find the probability that the mean excess time used by the 65 customers in the sample is longer than 28 minutes.

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