Refer to the following payoff table: State of Nature Alternative S1 S2 A1 75 −40 A2 0 100 Prior Probability 0.6 0.4 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?
Refer to the following payoff table:
| State of Nature | ||
| Alternative | S1 | S2 |
| A1 | 75 | −40 |
| A2 | 0 | 100 |
| Prior |
0.6 | 0.4 |
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?
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There is an option of paying $100 to have research conducted to better predict which state of nature will occur. When the true state of nature is High, the research will accurately predict High 70% of the time. When the true state of nature is Low, the research will accurately predict Low 75% of the time.
Given that the research is conducted, what is the joint
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