It's a Beautiful Sunny Day After a Week of Rainy

question 33

Essay

It's a beautiful sunny day after a week of rainy weather and both of the local car washes are busy. One car wash is fully automated, touchless, and can wash a vehicle of any size to a dazzling luster in 5 minutes flat. The other car wash is a fund raiser staffed by eager amateurs that work on one car at a time and can finish it in about 4 minutes (their time is governed by the Poisson distribution). Customer arrivals at both car washes are Poisson distributed with a mean of 10 per hour. How long does it take the average customer to work his way through either system? How many customers are in the systems on average?

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Definitions:

Latest and Greatest

A term used to describe the most recent and advanced products, technologies, or ideas currently available.

Early Majority Adopter

A segment of consumers who adopt a new product shortly after the innovators and early adopters, playing a key role in broad market acceptance.

Core Business

The primary area of activity for a company, focusing on the main products or services that generate the most revenue or activity.

Diversification

A business strategy that involves entering into new markets or adding new products to a company's portfolio to reduce risk and capitalize on new opportunities.