opman hw quiz HOMEWORK Chapter 18 - Waiting Lines
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A photographer takes passport pictures at an average rate of 20 pictures per hour. The photographer must wait until the customer is correctly positioned, so the time to take a picture is exponentially distributed. Customers arrive at a Poisson-distributed average rate of 19 customers per hour.
What is the utilization of the photographer? Express your answer to two decimal places.
A photographer takes passport pictures at an average rate of 20 pictures per hour. The photographer must wait until the customer is correctly positioned, so the time to take a picture is exponentially distributed. Customers arrive at a Poisson-distributed average rate of 19 customers per hour.
How much time will the average customer spend with the photographer, in hours?
The Solomon law firm produces many legal documents that must be processed for clients and the firm. Attorneys request eight pages of documents per hour, and they arrive according to a Poisson distribution. The secretary can word process 10 pages per hour on average, according to an exponential distribution.
What is the average utilization rate of the secretary? Express your answer to two decimal places.
What is the probability that at least four pages are currently being or waiting to be processed?
Express your answer to two decimal places.
Check-in data from the Tallahassee airport indicate that 342 people checked in for their flight between 9 and 10 am. TSA agents have reported that the average number of customers witing in line was 31. What was the average customers waiting time in minutes, rounded to the nearest minute?
The average customer at a take-out mexican restaurant estimates that they wait 12 minutes for their food to arrive. Given that roughly 32 people are in the restaurant at any given moment, how many customers are arriving every hour?
What is the average number of customers in the system for a bank teller if the customers arrive every 3 minutes and the teller can serve 25 customers per hour?