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:

Method Of Frequency

A method of determining the probability of an event by the frequency of similar events in a reference class.

Intuitive Judgment

Decision-making based on gut feelings, instincts, or immediate perception, without the use of conscious reasoning.

Method Of Frequency

A statistical method used to analyze the frequency or occurrence of phenomena within a set of data.

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