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Suppose a geyser has a mean time between eruptions of 85 minutes. Let the interval of...

Suppose a geyser has a mean time between eruptions of 85 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 23 minutes.

What is the probability that a random sample of 9 time intervals between eruptions has a mean longer than 96 ​minutes?

The probability that the mean of a random sample of 9 time intervals is more than 96 minutes is approximately _______.

​(Round to four decimal places as​ needed.)

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