Suppose a geyser has a mean time between eruptions of 70 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 18 minutes.
(a) What is the probability that a randomly selected time interval between eruptions is longer than 79 minutes?
(Round to four decimal places as needed.)
(b) What is the probability that a random sample of 88 time intervals between eruptions has a mean longer than 79 minutes?
(Round to four decimal places as needed.)
(c) What is the probability that a random sample of 27 time intervals between eruptions has a mean longer than 79 minutes?
(Round to four decimal places as needed.)
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