The Binomial Distribution Is Frequently Used to Help Companies Decide

question 26

Essay

The binomial distribution is frequently used to help companies decide whether to accept or reject a shipment based on the results of a random sample of items from the shipment. For instance, suppose a contract calls for, at most, 10 percent of the items in a shipment to be red. To check this without looking at every item in the large shipment, a sample of n = 10 items is selected. If 1 or fewer are red, the shipment is accepted; otherwise it is rejected. Using probability, determine whether this is a "good" sampling plan. (Assume that a bad shipment is one that has 20 percent reds.)

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Definitions:

Enforcement Branch

pertains to a segment of government or an organization with the responsibility to ensure laws, regulations, or rules are being followed.

Occupational Injuries

Physical harm or damage that occurs to an individual as a result of their job or work environment.

Zoning Laws

Local laws that control where and how businesses may operate.

Waste Disposal

The process of managing waste materials by disposing of them safely and efficiently to minimize environmental impact.