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:

Emma Goldman

A prominent anarchist political activist and writer known for her advocacy for free speech, women's rights, and labor rights during the late 19th and early 20th centuries.

Margaret Sanger

An American birth control activist, sex educator, and nurse who played a leading role in the birth control movement and the founding of Planned Parenthood.

Birth Control

Birth control encompasses methods and devices used to prevent pregnancy or control fertility, enabling individuals or couples to plan if and when they have children.

Sexual Identity

An individual's sense of themselves in terms of who they are attracted to emotionally and sexually.