Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28 minutes with a standard deviation of 10 minutes. In a given time, a bus transported passengers 40 times. What is the probability that the average transport time was more than 30 minutes? What is the probability that a single bus takes more than 20 minutes to transport passengers? What is the probability that, when a bus transports passengers 40 times, that the mean transport time is greater than 30 minutes? When a bus transports passenger 40 times, what travel time is greater than 30% of all mean transport times of 40 transports. That is what is the 30th percentile of the distribution of the sample mean transport time when 40 transports are considered. Assume the mean time is measured to the nearest minute.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28 minutes with a standard deviation of 10 minutes. In a given time, a bus transported passengers 40 times.
What is the probability that the average transport time was more than 30 minutes? What is the probability that a single bus takes more than 20 minutes to transport passengers? What is the probability that, when a bus transports passengers 40 times, that the mean transport time is greater than 30 minutes? When a bus transports passenger 40 times, what travel time is greater than 30% of all mean transport times of 40 transports. That is what is the 30th percentile of the distribution of the sample mean transport time when 40 transports are considered. Assume the mean time is measured to the nearest minute.

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