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Inspecting Meat Is a Very Important Part of the Process

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Inspecting meat is a very important part of the process of ensuring healthy food. So that meat inspectors do not fall into a pattern of inspection, they use a 4-sided die to decide whether or not to sample the meat from a particular "side" of beef. The meat inspector rolls the die and if it comes up a 4, a sample is taken of that meat. Forty sides of beef are available for possible inspection. Define random variable x = number of sides selected for inspection out of the 40 available.
a) What is the mean of the random variable x?
b) What is the standard deviation of the random variable x?

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Definitions:

Product Specifications

Detailed descriptions of a product’s requirements, dimensions, materials, and performance criteria, used as standards for production and quality assurance.

JIT Environment

A production strategy that strives to improve a business's return on investment by reducing in-process inventory and associated carrying costs, through just-in-time inventory management.

Layout Tactic

A specific plan or method employed to arrange physical resources in a production or service facility.

Work Cells

An arrangement of resources in a manufacturing environment to improve efficiency by having all necessary equipment and materials in close proximity.

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