A Small Diner Has One Employee and a Counter with Seating

question 36

Multiple Choice

A small diner has one employee and a counter with seating for 8 customers.The diner does not package food for takeout.Customers arrive at the diner at the rate of 20 per hour (Poisson distributed) .Service times are exponentially distributed and average 24 per hour.Customers that arrive when all seats are taken do not enter the diner.What is the average number of customers waiting (average queue length) ?

• A)2.0432
• B)2.8364
• C)3.9785
• D)5.9782

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Definitions:

Independent Variable

In an experiment, the variable that is intentionally changed to observe its effect on the dependent variable.

Least Squares Estimate

A statistical method used to determine the line of best fit by minimizing the sum of squares of the differences between observed and predicted values.

Intercept

The point at which a line crosses the axis in a graph, often associated with the starting value of a function when all independent variables equal zero.

Dependent Variable

A variable in scientific research or statistical modeling whose value is subject to change based on the changes in another variable, known as the independent variable.