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Refer to the Following Payoff Table

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Refer to the following payoff table:
Refer to the following payoff table:   There is an option of paying $100 to have research done to better predict which state of nature will occur. When the true state of nature is S1, the research will accurately predict S1 60% of the time. When the true state of nature is S2, the research will accurately predict S2 80% of the time. What is the unconditional probability that the research predicts S1? A)  0.32 B)  0.4 C)  0.44 D)  0.56 E)  0.6
There is an option of paying $100 to have research done to better predict which state of nature will occur. When the true state of nature is S1, the research will accurately predict S1 60% of the time. When the true state of nature is S2, the research will accurately predict S2 80% of the time.
What is the unconditional probability that the research predicts S1?


Definitions:

Written Goals

Specifically defined objectives that are documented in writing, serving as a guide to help individuals or organizations focus their efforts and measure progress.

Bureaucratic Structure

An organizational system characterized by a fixed hierarchy, specialization of labor, adherence to fixed rules, and a relationship of authority based on impersonal positions.

Hierarchy

An organization or structure where individuals or groups are arranged in a hierarchy based on their authority or status.

Divisions

The creation of distinct groups or categories within a society, often based on social, economic, or cultural differences.

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