Probability
The average rate of calls in a busy call center is 3 calls per 6 minutes. Then answer the following questions: a) What is the probability that at least 30 seconds will elapse before next call? b) What is the probability that exactly 10 calls will come in half an hour? c) Consider that you are the call center employee. You took a break for a tea and come back to your desk and 2 minutes have passed. What is the probability that you will wait more than 4 minutes after the end of your break
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Exercise 2.3 The time between phone calls to a call center is exponentially distributed with mean...
Exercise 2.3 The time between phone calls to a call center is exponentially distributed with mean 60 seconds. (a) What is the probability that exactly 4 calls arrive in the next 2 minutes? (6) What is the probability that at least 2 calls arrive in the next 2 minutes? (c) What is the probability that no buses arrive in the next 2 minutes? (d) Given that a call has just arrived, what is the probability that the next call arrives...
City Cab, Inc., uses two dispatchers to handle requests for service and to dispatch the cabs. The...
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Phone calls arrive at the rate of 36 per hour at the reservation desk for Regional...
Phone calls arrive at the rate of 36 per hour at the reservation
desk for Regional Airways.
Phone calls arrive at the rate of 36 per hour at the reservation desk for Regional Airways. a. Compute the probability of receiving three calls in a 5-minute interval of time (to 4 decimals) b. Compute the probability of receiving exactly 12 calls in 15 minutes. (to 4 decimals) c. Suppose no calls are currently on hold. If the agent takes 5 minutes...
Assume that you run a call center that receives an average of 3 calls per minute...
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The time between calls to a corporate office is exponentiallydistributed with a mean of 10 minutes....
The time between calls to a corporate office is exponentiallydistributed with a mean of 10 minutes. Find: a.) fx(X) b.) Probability that there are no calls within one-half hour? c.) Given that you have already been waiting for half an hour. How long do you expect to wait until the next call?
The probability that your call to a service line is answered in less than 30 seconds...
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A help desk can answer 200 calls per hour. The demand rate is 250 calls per...
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1) The number of calls received at a certain information desk has a Poisson Distribution with...
1) The number of calls received at a certain information desk has a Poisson Distribution with an average of 6 calls per hour. (15 points) (a) Find the probability that there is at exactly one call during a 15 minute period. (You cannot use tables here - show all work) (b) Find the probability that at least 6 calls are received during a 30 minute period. (you may use tables here) ******************************** 2) Note that for the above problem, the...
Exercise 2.3 The time between phone calls to a call center is exponentially distributed with mean 60 seconds. (a) What is the probability that exactly 4 calls arrive in the next 2 minutes? (6) What is the probability that at least 2 calls arrive in the next 2 minutes? (c) What is the probability that no buses arrive in the next 2 minutes? (d) Given that a call has just arrived, what is the probability that the next call arrives...
The probability that your call to a service line is answered in less than 30 seconds is 0.65. Assume that your calls are independent. (a) If you call 10 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654) (b) If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to...
Phone calls arrive at the rate of 36 per hour at the reservation
desk for Regional Airways.
Phone calls arrive at the rate of 36 per hour at the reservation desk for Regional Airways. a. Compute the probability of receiving three calls in a 5-minute interval of time (to 4 decimals) b. Compute the probability of receiving exactly 12 calls in 15 minutes. (to 4 decimals) c. Suppose no calls are currently on hold. If the agent takes 5 minutes...
The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are independent. (a) If you call 10 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654). 0.1877 (b) If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer...
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