In a call center that stays open all the time, calls arrive as a Poisson process with a mean rate of 0.3 complaints per hour. (a) After receiving a call (the 1st call), what is the probability that the 51st call arrives within 150 hours? (b) After receiving a call, what is the probability that the next call arrives after 2 hours (c) The number of calls received each day is recorded for 50 consecutive days. Find the probability that the sum of these 50 numbers is less than 356.

In a call center that stays open all the time, calls arrive as a Poisson process with a mean rate of 0.3 complaints per hour. (a) After receiving a call (the 1st call), what is the probability that the 51st call arrives within 150 hours? (b) After receiving a call, what is the probability that the next call arrives after 2 hours (c) The number of calls received each day is recorded for 50 consecutive days. Find the probability that the sum of these 50 numbers is less than 356.

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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