Exhibit 13-1
a Grocery Store Manager Would Like to Use $\lambda$

question 5

Essay

Exhibit 13-1
A grocery store manager would like to use an analytical queueing model to study the lines of customers that form in front of the checkout stations in the store.During a period of time when business is steady,several store employees have gathered data on customer interarrival times,which are shown below.
-[Part 1] Refer to Exhibit 13-1.Is it reasonable to assume exponentially distributed interarrival times for the grocery store customers? If so,what is $\lambda$ ?

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Definitions:

Semicircular Arch

An arch that forms half of a circle and is often used in architectural designs.

Diameter

A straight line segment passing through the center of a circle or sphere and terminating on both sides of the perimeter, effectively measuring the largest distance across the shape.

Vertex

A point where two or more curves, lines, or edges meet; in geometry, it is often used to describe a corner point of a polygon or an angle.

Parabola

A symmetrical, curved, plane curve, which is the graph of a quadratic function.