Suppose a geyser has a mean time between eruptions of 91 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 20 minutes.

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Author:Amos Gilat
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Suppose a geyser has a mean time between eruptions of
91 minutes.
Let the interval of time between the eruptions be normally distributed with standard deviation
20 minutes.
Complete parts ​(a) through ​(e) below.
 
 
 

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Part 1
​(a) What is the probability that a randomly selected time interval between eruptions is longer than
101
​minutes?
Part 2
The probability that a randomly selected time interval is longer than
101
minutes is approximately
enter your response here.
​(Round to four decimal places as​ needed.)
Part 3
​(b) What is the probability that a random sample of
10
time intervals between eruptions has a mean longer than
101
​minutes?
Part 4
The probability that the mean of a random sample of
10
time intervals is more than
101
minutes is approximately
enter your response here.
​(Round to four decimal places as​ needed.)
Part 5
​(c) What is the probability that a random sample of
20
time intervals between eruptions has a mean longer than
101
​minutes?
Part 6
The probability that the mean of a random sample of
20
time intervals is more than
101
minutes is approximately
enter your response here.
​(Round to four decimal places as​ needed.)
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