A Candidate Must Decide Whether He Should Spend His Time

question 77

Multiple Choice

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)​ ​

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Definitions:

Earth's Axis

An imaginary line around which Earth rotates, extending between the North and South Poles.

Coral Reef Community

A diverse underwater ecosystem characterized by reef-building corals, which are colonies of tiny living animals found in marine waters containing few nutrients.

Shallow Water

Areas of water that are not deep, typically referring to parts of a body of water where sunlight can reach the bottom, influencing aquatic life and ecosystems.

Densely Populated

An area characterized by a high number of people living within a given space.