AAA Co Operates Distribution Centers in the Midwest

question 27

Short Answer

AAA Co. operates distribution centers in the Midwest. Three of their centers were recently audited to determine if they are in compliance with company standard billing procedures. According to the auditing firm, a billing had an equal probability of being from each of the three centers. A random sample of the audited billings had the following distribution.
Center 1: 385 billings
Center 2: 305 billings
Center 3: 210 billings
What is the expected value of the number of billings for each center if H₀ (equal probabilities) is true?

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Definitions:

Corn

A cereal plant (Zea mays) that produces large kernels on a cob; also used to refer to the kernels themselves, which are a staple food in many parts of the world.

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Natural ecosystems are biological communities that interact with their physical environment, functioning through naturally occurring processes without significant human intervention.

Dead Organic Material

Non-living plant and animal matter that has not yet decayed, providing nutrients and energy sources for decomposers in ecosystems.

Recycle

The process of collecting and processing materials that would otherwise be thrown away as trash and turning them into new products.