Question

The Grand Movie Theater has one box office clerk. On average, each customer that comes to see a movie can be sold its ticket at the rate of 6 per minute. For the theater's normal offerings of movies, customers arrive at the rate of 270 per hour. Assume arrivals follow the Poisson distribution and service times follow the exponential distribution. What is the average number of customers in the system?

Name: the grand movie theater has one box office clerk on average each customer that comes to see a movie can be sold its ticket at the rate of 6 per minute for the theaters normal offerings of mo 39058
Uploaded: 2022-03-03T16:12:54-08:00
Duration: 2 min 28 s
Channel: Pronoy Sinha
Description: the grand movie theater has one box office clerk on average each customer that comes to see a movie can be sold its ticket at the rate of 6 per minute for the theaters normal offerings of mo 39058

          The Grand Movie Theater has one box office clerk. On average,
each customer that comes to see a movie can be sold its ticket at
the rate of 6 per minute. For the theater's normal offerings of
movies, customers arrive at the rate of 270 per hour. Assume
arrivals follow the Poisson distribution and service times follow
the exponential distribution.
What is the average number of customers in the system?

Added by James V.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Pronoy Sinha

03/03/2022

Step 1

270 customers per hour = 270/60 = 4.5 customers per minute. So, λ = 4.5 customers per minute. Show more…

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The Grand Movie Theater has one box office clerk. On average, each customer that comes to see a movie can be sold its ticket at the rate of 6 per minute. For the theater's normal offerings of movies, customers arrive at the rate of 270 per hour. Assume arrivals follow the Poisson distribution and service times follow the exponential distribution. What is the average number of customers in the system?