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 conducted 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 posterior probability of S1 given that the research predicts S1? Multiple Choice: 0.18 0.82 0.57 0.44 0.65
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 conducted 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 posterior probability of S1 given that the research predicts S1? Multiple Choice: 0.18 0.82 0.57 0.44 0.65
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 conducted 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 posterior probability of S1 given that the research predicts S1?
Multiple Choice:
- 0.18
-
0.82
-
0.57
-
0.44
-
0.65
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