Calls to customer service center last on average 2.2 minutes with standard deviation of 1 minutes. An operator in call center is required to answer 57 calls each day. Suppose the call times are independent.
Determine the expected total amount of time in minutes the operator will spend on calls each day? Provide an exact answer.
Determine the standard deviation of total amount of time in minutes the operator will spend on calls each day? Provide your answer to four decimal places.
Determine the approximate probability that total time spent on the calls will be less than 124 minutes? Provide your answer to four decimal places. Employ the standard deviation as you entered it above to answer this question.
Determine the value c such that approximate probability that the total time spent upon the calls each and every day is less than c is 0.96? Provide your answer to four decimal places. Employ the standard deviation as you entered it above to answer this question.