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A Candidate Must Decide Whether He Should Spend His Time

question 94

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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:

Thyroid Gland

An endocrine gland located in the neck, which produces hormones like thyroxine and triiodothyronine, regulating metabolism and energy use.

Antagonistically

In a manner opposing or inhibiting the action of something, often referring to muscles or drugs working opposite to each other.

Insulin

A substance secreted by the pancreas that controls blood sugar levels.

Glucagon

A hormone produced by the pancreas that raises blood glucose levels.

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