Telephone calls enter a college switchboard according to a Poisson process on the average of 3 per minute. Assume that the switchboard is open from 8am to 5pm. a) What is the probability that exactly 7 calls enter the switchboard between 8:10am and 8:13am? b) Suppose it’s 11am. Find the probability that there will be no calls during the next 2 minutes. c) What is the expected number of calls between 9:00am and 9:05am?

Telephone calls enter a college switchboard according to a Poisson process on the average of 3 per minute. Assume that the switchboard is open from 8am to 5pm. a) What is the probability that exactly 7 calls enter the switchboard between 8:10am and 8:13am? b) Suppose it’s 11am. Find the probability that there will be no calls during the next 2 minutes. c) What is the expected number of calls between 9:00am and 9:05am?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 35E

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