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A Payoff Table Is Shown Below The Following Prior Probabilities Are Assigned to the States of }\\\text

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A payoff table is shown below:  Alternative  State of Nature a1a2a3a4s1s270462435\begin{array}{ll}&\text { Alternative }\\\text { State of Nature }&\quad a_1\quad\quad a_2\quad\quad a_3\quad\quad a_4\\\begin{array}{ll}s_1\\s_2\end{array}&\begin{array}{|llll|}\hline 7\quad\quad&0\quad\quad&4\quad&6 \\2&4&3&5\\\hline\end{array}\end{array}
The following prior probabilities are assigned to the states of nature:
P( s1s _ { 1 } ) = 0.3, P( S2S _ { 2 } ) = 0.7.
a. Calculate the expected monetary value for each act with present information. What decision should be made using the EMV criterion?
b. Convert the payoff table to an opportunity loss table.
c. Calculate the expected opportunity loss for each act with present information. What decision should be made using the EOL criterion?
d. What is the expected payoff with perfect information?
e. What is the expected value of perfect information?

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Definitions:

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Small, word-sized graphics that present a visual summary of data, typically embedded within a sheet of text or a table.

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Graphical representations of data where each category's value is depicted by the height of a column, allowing for easy comparison between categories.

Data Trends

The observable patterns or directions in which data moves over time or across different categories, often analyzed for predictive insights.

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A feature in spreadsheet and charting software that allows users to customize the components of a chart, such as titles, legends, and labels.

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