Suppose a geyser has a mean time between eruptions of 77 minutes

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Suppose a geyser has a mean time between eruptions of 77 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 18 minutes?, answer the following questions.

 

1. What is the probability that a random sample of 7 time intervals between eruptions has a mean longer than 86 ?minutes?

The probability that the mean of a random sample of 7 time intervals is more than 86 minutes is approximately