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. 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. 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. x c. 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 ralls each day is less than c is 0.977 Give your answer to four decimal places. Use the standard deviation as you
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. 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. 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. x c. 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 ralls each day is less than c is 0.977 Give your answer to four decimal places. Use the standard deviation as you
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 3CYU
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![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. 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. 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.
c. 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
X
d. 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 0.97? Give your answer to four decimal places. Use the standard deviation as you
entered it above to answer this question.
Xx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F070e8b65-931e-44e7-bfb4-6d69e5ced655%2F2d1d2c38-75d0-41dd-951e-593c5d6d9212%2Favdjqo7_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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. 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. 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.
c. 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
X
d. 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 0.97? Give your answer to four decimal places. Use the standard deviation as you
entered it above to answer this question.
Xx
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