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Two Percent of the Parts Produced by a Machine Are

question 42

Short Answer

Two percent of the parts produced by a machine are defective. Twenty parts are selected at random. Use the binomial probability tables to answer the following questions.
a.What is the probability that exactly 3 parts will be defective?
b.What is the probability that the number of defective parts will be more than 2 but fewer than 6?
c.What is the probability that fewer than 4 parts will be defective?
d.What is the expected number of defective parts?
e.What is the variance for the number of defective parts?

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Definitions:

Concordance Rate

The likelihood of two individuals sharing a trait or disorder, often used in twin studies to explore genetic vs. environmental influences.

Identical Twins

Twins who develop from a single fertilized egg that splits and forms two embryos, sharing 100% of their genes and typically having very similar appearances and genetic traits.

Schizophrenia

A mental disorder characterized by abnormal behavior, strange speech, and a decreased ability to understand reality.

Fluoxetine (Prozac)

An antidepressant medication in the class of selective serotonin reuptake inhibitors (SSRIs), used to treat depression, OCD, and anxiety.

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