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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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**Transcription of Call Center Service Time Analysis** --- Calls to a customer service center last on average 2.6 minutes with a standard deviation of 1.2 minutes. An operator in the call center is required to answer 89 calls each day. Assume the call times are independent. a. **Expected Total Time** What is the expected total amount of time in minutes the operator will spend on the calls each day? Give an exact answer: **231.4** ✔️ b. **Standard Deviation of Total Time** What is the standard deviation of the total amount of time, in minutes, the operator will spend on the calls each day? Give your answer to four decimal places: **_Field Left Blank_** ❌ c. **Probability of Less Than 226 Minutes** What is the approximate probability that the total time spent on the calls will be less than 226 minutes? Give your answer to four decimal places. Use the standard deviation as you entered it above to answer this question: **0.3186** ✔️ d. **Value of c for Probability 0.977** What is the value c such that the approximate probability that the total time spent on the calls each day is less than c is 0.977? Give your answer to four decimal places. Use the standard deviation as you entered it above to answer this question: **_Field Left Blank_** ❌ --- This transcription outlines a statistical analysis of call duration for a customer service operator, focusing on expected values and probabilities regarding total call duration.
Transcribed Image Text:**Transcription of Call Center Service Time Analysis** --- Calls to a customer service center last on average 2.6 minutes with a standard deviation of 1.2 minutes. An operator in the call center is required to answer 89 calls each day. Assume the call times are independent. a. **Expected Total Time** What is the expected total amount of time in minutes the operator will spend on the calls each day? Give an exact answer: **231.4** ✔️ b. **Standard Deviation of Total Time** What is the standard deviation of the total amount of time, in minutes, the operator will spend on the calls each day? Give your answer to four decimal places: **_Field Left Blank_** ❌ c. **Probability of Less Than 226 Minutes** What is the approximate probability that the total time spent on the calls will be less than 226 minutes? Give your answer to four decimal places. Use the standard deviation as you entered it above to answer this question: **0.3186** ✔️ d. **Value of c for Probability 0.977** What is the value c such that the approximate probability that the total time spent on the calls each day is less than c is 0.977? Give your answer to four decimal places. Use the standard deviation as you entered it above to answer this question: **_Field Left Blank_** ❌ --- This transcription outlines a statistical analysis of call duration for a customer service operator, focusing on expected values and probabilities regarding total call duration.
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