A student takes the campus shuttle bus to reach the classroom building. The shuttle bus arrives at his stop every 15 minutes but the actual arrival time at the stop is random. The student allows 10 minutes waiting time for the shuttle in his plan to make it in time to the class. What is the expected waiting time? What is the variance? What is the probability that the wait will be between four and six minutes? What is the probability that the student will be in time for the class? If he wants to be 95% confifident of being on time for the class, how much time should he allow for waiting for the shuttle?

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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3–50. A student takes the campus shuttle bus to reach the classroom building. The

shuttle bus arrives at his stop every 15 minutes but the actual arrival time at the stop

is random. The student allows 10 minutes waiting time for the shuttle in his plan to

make it in time to the class.

  1. What is the expected waiting time? What is the variance?
  2. What is the probability that the wait will be between four and six minutes?
  3. What is the probability that the student will be in time for the class?
  4. If he wants to be 95% confifident of being on time for the class, how much

time should he allow for waiting for the shuttle?

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