Suppose a geyser has a mean time between eruptions of 80 minutes. If the interval of...

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Suppose a geyser has a mean time between eruptions of 80minutes. If the interval of time between the eruptions is normallydistributed with standard deviation 26 minutes?, answer thefollowing questions. ?(a) What is the probability that a randomlyselected time interval between eruptions is longer than 92?minutes? The probability that a randomly selected time interval islonger than 92 minutes is approximately 0.3228. ?(Round to fourdecimal places as? needed.) ?(b) What is the probabilitythat a random sample of 8 time intervals between eruptions has amean longer than 92 ?minutes? The probability that the mean of arandom sample of 8 time intervals is more than 92 minutes isapproximately nothing. ?(Round to four decimal places as?needed.)

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