Find the Expected Payoff $M$ Be the Matrix Game Having Payoff Matrix

question 53

Multiple Choice

Find the expected payoff.
-Let $M$ be the matrix game having payoff matrix $\left[ \begin{array} { r r r } - 2 & 0 & 2 \\ 2 & - 1 & 3 \\ - 2 & 1 & 0 \end{array} \right]$ .
Find $E ( x , y )$ when $x = \left[ \begin{array} { c } \frac { 1 } { 4 } \\ \frac { 1 } { 2 } \\ \frac { 1 } { 4 } \end{array} \right]$ and $\mathbf { y } = \left[ \begin{array} { c } \frac { 1 } { 6 } \\ \frac { 1 } { 2 } \\ \frac { 1 } { 3 } \end{array} \right]$

• A) \(\frac { 13 } { 24 }\)
• B) \(\frac { 5 } { 8 }\)
• C) \(\frac { 7 } { 12 }\)
• D) \(\frac { 1 } { 2 }\)

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Definitions:

Population Locations

The geographically-based positions or areas where members of a specific population are found or located.

Ordinal

Pertaining to a scale or measurement where the order of values is significant, but the intervals between values are not necessarily consistent or known.

Interval

A range of numbers between two set points where any number within that range is included.

Randomized Block Experiment

A randomized block experiment is a type of statistical experiment in which subjects are divided into blocks based on characteristics that might affect the response, and then within each block, subjects are randomly assigned to treatments.