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a. If an operator wants to take a one-minute break, what is the probability that there willI be no calls during a one-minute interval? b. If an operator can handle at most five calls per minute, what is the probability that the operator will be unable to handle the calls in any one-minute period? c. What is the probability that exactly three calls will arrive in a two-minute interval? d. What is the probability that one or fewer calls will arrive in a 30-second interval? Appendix A Statistical Tables

a. If an operator wants to take a one-minute break, what is the probability that there willI be no calls during a one-minute interval? b. If an operator can handle at most five calls per minute, what is the probability that the operator will be unable to handle the calls in any one-minute period? c. What is the probability that exactly three calls will arrive in a two-minute interval? d. What is the probability that one or fewer calls will arrive in a 30-second interval? Appendix A Statistical Tables

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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One of the earliest applications of the Poisson distribution was in analyzing incoming calls to a telephone switchboard. Analysts generally believe that random phone calls are Poisson distributed. Suppose phone calls to a switchboard arrive at an average rate of 3.0 calls per minute. a. If an operator wants to take a one-minute break, what is the probability that there will be no calls during a one-minute interval? b. If an operator can handle at most five calls per minute, what is the probability that the operator will be unable to handle the calls in any one-minute period? c. What is the probability that exactly three calls will arrive in a two-minute interval? d. What is the probability that one or fewer calls will arrive in a 30-second interval? Appendix A Statistical Tables (Round your answers to 4 decimal places when calculating using Table A.3, e.g. 0.2153.) a. P(x = 0|A = 3.0) = b. P(x > 5|A = 3.0) = %3D c. P(x = 3|1 = 6.0) = d. P(x< 1 | λ= 1.5)-
Transcribed Image Text:One of the earliest applications of the Poisson distribution was in analyzing incoming calls to a telephone switchboard. Analysts generally believe that random phone calls are Poisson distributed. Suppose phone calls to a switchboard arrive at an average rate of 3.0 calls per minute. a. If an operator wants to take a one-minute break, what is the probability that there will be no calls during a one-minute interval? b. If an operator can handle at most five calls per minute, what is the probability that the operator will be unable to handle the calls in any one-minute period? c. What is the probability that exactly three calls will arrive in a two-minute interval? d. What is the probability that one or fewer calls will arrive in a 30-second interval? Appendix A Statistical Tables (Round your answers to 4 decimal places when calculating using Table A.3, e.g. 0.2153.) a. P(x = 0|A = 3.0) = b. P(x > 5|A = 3.0) = %3D c. P(x = 3|1 = 6.0) = d. P(x< 1 | λ= 1.5)-
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