Refer to the following payoff table: Alternative A1 A2 Prior Probability State of Nature S1 S2 -40 100 0.4 75 0 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. Given that the research is not done, what is the expected payoff using Bayes' decision rule?

Practical Management Science
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Author:WINSTON, Wayne L.
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Refer to the following payoff table:
Alternative
A1
A2
Prior Probability
State of Nature
S1
S2
-40
100
0.4
75
0
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.
Given that the research is not done, what is the expected payoff using Bayes' decision rule?
Transcribed Image Text:Refer to the following payoff table: Alternative A1 A2 Prior Probability State of Nature S1 S2 -40 100 0.4 75 0 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. Given that the research is not done, what is the expected payoff using Bayes' decision rule?
Multiple Choice
O
O
O
29
40
75
100
Transcribed Image Text:Multiple Choice O O O 29 40 75 100
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