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Refer to the Following Payoff Table

question 58

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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. Given that the research is done, what is the joint probability that the state of nature is S2 and the research predicts S1? A)  0.08 B)  0.16 C)  0.24 D)  0.32 E)  0.36
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.
Given that the research is done, what is the joint probability that the state of nature is S2 and the research predicts S1?

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Definitions:

Accounting Methods

The specific rules and procedures adopted by a business for reporting income and expenses.

Investor

An individual or entity that allocates capital with the expectation of receiving financial returns, encompassing a wide range of investment vehicles and activities.

Consolidation

The process of combining the financial statements of multiple subsidiary companies into the statements of a single parent company.

Available-for-Sale Securities

Financial assets that are neither held for trading immediately nor held to maturity, which can be sold in response to liquidity needs.

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