At a ride in an amusement park, customers form a line to wait for their turn to get a ride. Only one customer is allowed in the ride at the same time. On average, a customer spends 4 minutes in the ride, with a standard deviation of the time estimated 2 minutes. It is observed that customers arrive according to a Poisson process with an arrival rate of 12 customers per hour. On average, how long does a customer need to wait (in minutes) before they can enter the ride?

At a ride in an amusement park, customers form a line to wait for their turn to get a ride. Only one customer is allowed in the ride at the same time. On average, a customer spends 4 minutes in the ride, with a standard deviation of the time estimated 2 minutes. It is observed that customers arrive according to a Poisson process with an arrival rate of 12 customers per hour. On average, how long does a customer need to wait (in minutes) before they can enter the ride?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question

Please do fast ASAP fast

At a ride in an amusement park, customers form a line to wait for their turn to get a ride.
Only one customer is allowed in the ride at the same time. On average, a customer spends
4 minutes in the ride, with a standard deviation of the time estimated 2 minutes. It is
observed that customers arrive according to a Poisson process with an arrival rate of 12
customers per hour.
On average, how long does a customer need to wait (in minutes) before they can enter the
ride?
Note: Round your answer to two decimal places.

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