Warner Lawson

03/27/2024 · Junior High School

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). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected time interval between eruptions is longer than 96 minutes? The probability that a randomly selected time interval is longer than 96 minutes is approximately (Round to four decimal places as needed.) (b) What is the probability that a random sample of 8 time intervals between eruptions has a mean longer than 96 minutes? The probability that the mean of a random sample of 8 time intervals is more than 96 minutes is approximately (Round to four decimal places as needed.)