The most tamous geyser in the world, Old Fanthal in Yelbwstone Nation.pdf

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Old Faithful in Yellowstone National Park erupts on average every 85 minutes with a standard deviation of 21.25 minutes. The probability that a randomly selected time interval between eruptions is longer than 95 minutes is approximately 0.1455. The probability that the mean of 11 randomly selected time intervals is longer than 95 minutes is approximately 0.0035.

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The most tamous geyser in the world, Old Fanthal in Yelbwstone National Park, has a mean
time between eruptions of 85 minules. I the intorval of Eme betwoen the enuptions is nom whit
standard deviation 21.25 minutes, complete parts (o) through (i) Click here to viw the standant
normal distribution lable (poge 1). Click here bo view the standard norinal diatribution table.
iooge.2i) (a) What is the probability that a randomly selected ime interval between eruptiont is
longer than 95 minutes? The probabily that a randomy selected time interval is longer than 95
minvtes is approxinalely (Round lo four decimal places as needed) (b) What is the probablity
that a random sample of 11 time intervals between ervptions has a mean longer than 95 miniles?
The probablity that the mean of a random sample of 11 time intervals is more than 95 minules is
approximateoy (Round to four decimal places as noeded)

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