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A Single Ticket Taker Can Tear Tickets and Direct Movie

question 28

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A single ticket taker can tear tickets and direct movie patrons to their seats at a rate of 90 per hour. Customers arrive every minute for assistance and always wait, regardless of how long the line gets. Arrivals are governed by the Poisson distribution and service is governed by the exponential distribution.
-Use the information in Scenario C.1.What is the average time a customer must wait in line?


Definitions:

Kilometres

A unit of length in the metric system, equal to 1,000 meters, commonly used to measure distances between geographical locations.

Minutes

Units of time equal to one sixtieth of an hour, or 60 seconds, used to measure duration.

Scatterplot

A graph in which the values of two variables are plotted along two axes, the pattern of points revealing any correlations present.

Correlation

A numerical metric that illustrates the degree to which two variables move in tandem, demonstrating the intensity and orientation of their association.

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