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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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