Burrito King (a new fast-food franchise opening up nationwide) has successfully automated burrito production for its drive-up fast-food establishments. The Burro-Master 9,000 requires a constant 45 seconds to produce a batch of burritos. It has been estimated that customers will arrive at the drive-up window according to a Poisson distribution at an average of one every 50 seconds. To help determine the amount of space needed for the line at the drive-up window, answer the following questions. What is the average waiting line length (in cars)? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. What is the average number of cars in the system (both in line and at the window)? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. What is the expected average time in the system, in minutes? Note: Do not round intermediate calculations. Round your answer to 2 decim
Burrito King (a new fast-food franchise opening up nationwide) has successfully automated burrito production for its drive-up fast-food establishments. The Burro-Master 9,000 requires a constant 45 seconds to produce a batch of burritos. It has been estimated that customers will arrive at the drive-up window according to a Poisson distribution at an average of one every 50 seconds. To help determine the amount of space needed for the line at the drive-up window, answer the following questions.
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What is the average waiting line length (in cars)?
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
-
What is the average number of cars in the system (both in line and at the window)?
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
-
What is the expected average time in the system, in minutes?
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
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