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:

IEP

An Individualized Education Program, a document developed for each public school child who needs special education.

Special Needs

A term referring to individuals who require additional or specialized services due to various disabilities or challenges.

Educational Goals

Objectives set within an educational system to guide student learning and achievement.

Gifted

Describes individuals, often children, who exhibit significantly higher than average levels of aptitude or competence in one or more domains of mental ability.