Question: the time between failures in a quality testing laboratory is modeled by a probability distribution with mean 8 minutes and standard deviation also 8 minutes.

the time between failures in a quality testing laboratory is modeled by a probability distribution with mean 8 minutes and standard deviation also 8 minutes. Failures are considered to occur independently. A quality inspector reviews the failure report log entries starting at 1:15am and examines the next 50 failure entries.

What is the probability that the average time between failures exceeds 7 minutes?

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