The Post Office Uses a Multiple Channel Queue, Where Customers

question 9

Essay

The post office uses a multiple channel queue, where customers wait in a single line for the first available window. If the average service time is 1 minute and the arrival rate is 7 customers every five minutes, find, when two service windows are open,
a.the probability both windows are idle.
b.the probability a customer will have to wait.
c.the average time a customer is in line.
d.the average time a customer is in the post office.

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Definitions:

Multiple Correlation

A statistical technique that predicts the value of one variable based on the combined values of two or more other variables.

Pearson Correlation

A measure of the linear correlation between two variables, quantified by a coefficient that ranges from -1 to 1.

Degrees Freedom

The number of independent pieces of information used in the calculation of a statistic, often symbolized as "df".

F-ratio Equation

Used in ANOVA tests, it calculates the ratio of variation between group means to the variation within the groups.