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The most famous geyser in the world, Old Faithful in Yellowstone National Park, has a...

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The most famous geyser in the world, Old Faithful in Yellowstone National Park, has a mean time between eruptions of 85 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 21.25 minutes, complete parts (a) through (f).(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 0.3192(Round to four decimal places as needed.)(b) What is the probability that a random sample of 14 time intervals between eruptions has a mean longer than 94 minutes?The probability that the mean of a random sample of 14 time intervals is more than 94 minutes is approximately noruptions has a mean longer than 94 minutes?

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