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. What is the unconditional probability that the research predicts S2?
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. What is the unconditional probability that the research predicts S2?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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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.
What is the unconditional probability that the research predicts S2?

Transcribed Image Text:Multiple Choice
O
0.32
0.4
0.44
0.56
0.6
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