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Refer to the Following Payoff Table

question 43

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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 S2? 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 S2?


Definitions:

Negative Reinforcement

A process in operant conditioning where a response is strengthened by stopping, removing, or avoiding a negative outcome or aversive stimulus.

Classical Conditioning

A continual pairing of two stimuli in a learning scenario leads to a response that while at first produced by the second stimulus, is later produced by the first stimulus alone.

Self-Modification

The ability or process of changing oneself or one's behavior through personal effort or intervention.

Positive Reinforcer

A stimulus that, when presented after a behavior, increases the likelihood of that behavior occurring again in the future.

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