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Two Percent of the Parts Produced by a Machine Are

question 17

Short Answer

Two percent of the parts produced by a machine are defective. Forty parts are selected. Define the random variable x to be the number of defective parts.
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:

Secularization Thesis

Says that religious institutions, actions, and consciousness are on the decline worldwide.

Civil Religion

A set of beliefs, symbols, and rituals integrating religious and national identities, often invoked to unite citizens and provide a sacred foundation for patriotism.

Political System

The structured set of principles and guidelines through which a country or organization governs its members, including the roles and responsibilities of the government and its citizens.

Inequalities

The unequal distribution of resources, opportunities, and rights among individuals or groups in society, leading to disparities in wealth, health, and social status.

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