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A Candidate Must Decide Whether He Should Spend His Time

question 77

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A candidate must decide whether he should spend his time and money on TV commercials or making personal appearances. His staff determines that by using TV he can reach 110,000 people with probability 0.06, 55,000 people with probability 0.39, and 30,000 people with probability 0.55; by making personal appearances he can reach 80,000 people with probability 0.04, 60,000 people with probability 0.36, and 25,000 people with probability 0.6. In the following table, x represents the number of people reached by each choice. In each case, find the expected value of x to decide which method, if either, will reach more people. ​ A candidate must decide whether he should spend his time and money on TV commercials or making personal appearances. His staff determines that by using TV he can reach 110,000 people with probability 0.06, 55,000 people with probability 0.39, and 30,000 people with probability 0.55; by making personal appearances he can reach 80,000 people with probability 0.04, 60,000 people with probability 0.36, and 25,000 people with probability 0.6. In the following table, x represents the number of people reached by each choice. In each case, find the expected value of x to decide which method, if either, will reach more people. ​   ​ A) ​   ​ B) ​   ​ C) ​   ​ D) ​   ​ E) ​


Definitions:

Inevitable

Something that cannot be avoided or is certain to happen.

Irreversible

Describes a process or action that cannot be undone or altered once it has occurred.

Cultural Ritualism

The practice and repetition of formalized actions and ceremonies in a culture, often imbued with symbolic meaning and importance.

Biological Causality

The concept that biological processes and phenomena are caused by underlying genetic, biochemical, or cellular factors.

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