A Dry Cleaner Has a Single Drive-Thru Window for Customers

question 70

Essay

A dry cleaner has a single drive-thru window for customers.The arrival rate of cars follows a Poisson distribution, while the service time follows an exponential distribution.The average arrival rate is 16 per hour and the average service time is three minutes.
(a)What is the average number of cars in the line?
(b)What is the average time spent waiting to get to the service window?
(c)What percentage of time is the dry cleaner's drive-thru window idle?
(d)What is the probability there are more than 2 cars at the drive-thru window?

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Definitions:

Noncontrolling Interest

A minority stake in a company that is reflected in the consolidated financial statements, representing the portion of subsidiaries not owned by the parent company.

Goodwill

An intangible asset that arises when a company acquires another company for a price higher than the fair value of its net assets, reflecting the value of its brand, customer base, and other non-tangible assets.

Acquisition

The process by which one company takes control over another company either by purchasing its shares, assets, or both.

Consolidated Balance Sheet

A balance sheet that represents the combined financial position of a parent company and its subsidiaries as if they were a single entity.