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State of Nature
the Following Table Displays the Payoffs (In

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State of Nature
The following table displays the payoffs (in thousands of dollars)for five different decision alternatives under three possible states of nature:  State of Nature  Alternative  I  Prob. =0.2 II  Prob. =0.3 III  Prob. =0.5 A $110$80$20 B $90$85$10 C $45$65$45 D $30$60$65 E $10$25$70\begin{array}{l}\text { State of Nature }\\\begin{array} { | c | c | c | c | } \hline \text { Alternative } & \begin{array} { c } \text { I } \\\text { Prob. } = \mathbf { 0 . 2 }\end{array} & \begin{array} { c } \text { II } \\\text { Prob. } = \mathbf { 0 . 3 }\end{array} & \begin{array} { c } \text { III } \\\text { Prob. } = \mathbf { 0 . 5 }\end{array} \\\hline \text { A } & \$ 110 & \$ 80 & - \$ 20 \\\text { B } & \$ 90 & \$ 85 & \$ 10 \\\text { C } & \$ 45 & \$ 65 & \$ 45 \\\text { D } & \$ 30 & \$ 60 & \$ 65 \\\text { E } & \$ 10 & \$ 25 & \$ 70 \\\hline\end{array}\end{array}
-Calculate the expected opportunity loss for Alternative A (in thousands of dollars).
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Definitions:

Ordered Pairs

Pairs of numbers used to represent points on a graph, with the first number indicating horizontal position and the second number vertical position.

Function

In mathematics, a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.

Simplify

In mathematics, to reduce an expression or equation to its simplest form or most understandable version.

Evaluate

The act of determining the worth of a given expression.

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