4. Students arrive at a tutoring center to a Poisson process with a rate of 10 per hour. (a) What is the probability that the second arrival is observed less than 15 minutes after the first arrival? (b) What is the probability that the third arrival is observed less than 10 minutes after the second arrival if it has not yet been observed 5 minutes after the second arrival? (c) What is the probability that more than 20 minutes is required for the third arrival? (d) Suppose a volunteer working at the center has a 6-hour shift. Compute the expected value and the variance for the number of students who would arrive during her shift.

4. Students arrive at a tutoring center to a Poisson process with a rate of 10 per hour. (a) What is the probability that the second arrival is observed less than 15 minutes after the first arrival? (b) What is the probability that the third arrival is observed less than 10 minutes after the second arrival if it has not yet been observed 5 minutes after the second arrival? (c) What is the probability that more than 20 minutes is required for the third arrival? (d) Suppose a volunteer working at the center has a 6-hour shift. Compute the expected value and the variance for the number of students who would arrive during her shift.

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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