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Sta Previous question Suppose a geyser has a mean time between eruptions of 84 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 25 minutes. Complete parts (a) through (e) below. (a) What is the probability that a randomly selected time interval between eruptions is longer than 94 minutes? The probability that a randomly selected time interval is longer than 94 minutes is approximately 0.3446 . ists (Round to four decimal places as needed.) (b) What is the probability that a random sample of 15 time intervals between eruptions has a mean longer than 94 minutes? vity The probability that the mean of a random sample of 15 time intervals is more than 94 minutes is approximately 0.0607. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 42 time intervals between eruptions has a mean longer than 94 minutes? The probability that the mean of a random sample of 42 time intervals is more than 14 minutes is approximately (Round to four decimal places as needed.) ten ces