The well-known geyser "Old Faithful" has a very predictable schedule for when it erupts. However, for the nearby Beehive Geyser, the eruptions occur at random times. In trying to provide visitors information on their chances of seeing Beehive Geyser erupt, park officials have recorded eruptions over the past 265 days. During this period, there were 162 eruptions. Suppose that we randomly select a day in the future. Using the data from the park officials and assuming that the number of eruptions follows a Poisson distribution, what are the mean and standard deviation of the number of eruptions that occur over the day selected? Round your answers to two decimal places. (a) mean: 0.611 (b) standard deviation: 0.782

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The well-known geyser "Old Faithful" has a very predictable schedule for when it erupts. However, for the nearby Beehive Geyser, the eruptions occur at random
times. In trying to provide visitors information on their chances of seeing Beehive Geyser erupt, park officials have recorded eruptions over the past 265 days.
During this period, there were 162 eruptions.
Suppose that we randomly select a day in the future. Using the data from the park officials and assuming that the number of eruptions follows a Poisson
distribution, what are the mean and standard deviation of the number of eruptions that occur over the day selected? Round your answers to two decimal places.
(a) mean: 0.611
?
(b) standard deviation:
0.782
Transcribed Image Text:The well-known geyser "Old Faithful" has a very predictable schedule for when it erupts. However, for the nearby Beehive Geyser, the eruptions occur at random times. In trying to provide visitors information on their chances of seeing Beehive Geyser erupt, park officials have recorded eruptions over the past 265 days. During this period, there were 162 eruptions. Suppose that we randomly select a day in the future. Using the data from the park officials and assuming that the number of eruptions follows a Poisson distribution, what are the mean and standard deviation of the number of eruptions that occur over the day selected? Round your answers to two decimal places. (a) mean: 0.611 ? (b) standard deviation: 0.782
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