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Calls to a customer service center last on average 1.95 minutes with a standard deviation of...

Calls to a customer service center last on average 1.95 minutes with a standard deviation of 1.63 minutes. An operator in the call center is required to answer 75 calls each day. Assume the call times are independent.
Round answers to 3 decimals.
(a) What is the expected total amount of time in minutes the operator will spend on the calls each day?

(b) What is the standard deviation of the total amount of time in minutes the operator will spend on the calls each day?

(c) What is the approximate probability that the total time spent on the calls will be less than 150 minutes?

(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 0.95?

Math   Statistics-And-Probability   
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