Solve the Problem $\hat { y } = \left[ \begin{array} { c } 0 \\ \frac { 1 } { 2 } \\ \frac { 1 } { 2 } \end{array} \right]$

question 19

Multiple Choice

Solve the problem.
-Each player has a supply of nickels, dimes, and quarters. At a given signal, both players display one coin. If the displayed coins are not the same, then the player showing the higher valued coin
Gets to keep both. If they are both nickels or dimes, then player R keeps both; but if they are both
Quarters, then player C keeps both. Find the optimal strategy for player C.

• A) \(\hat { y } = \left[ \begin{array} { c } 0 \\ \frac { 1 } { 2 } \\ \frac { 1 } { 2 } \end{array} \right]\)
• B) \(\hat { y } = \left[ \begin{array} { l } 0 \\ 1 \\ 0 \end{array} \right]\)
• C) \(\hat { \mathrm { y } } = \left[ \begin{array} { c } 0 \\ \frac { 1 } { 3 } \\ \frac { 2 } { 3 } \end{array} \right]\)
• D) \(\hat { \mathrm { y } } = \left[ \begin{array} { l } 0 \\ 0 \\ 1 \end{array} \right]\)

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Definitions:

Type A Behavior

is characterized by competitiveness, urgency, aggression, and an extreme commitment to work, perceived as a risk factor for heart disease.

Heart Disease

A range of conditions that affect the heart, including coronary artery disease, heart rhythm problems (arrhythmias), and heart defects among others, often characterized by blocked or narrowed blood vessels.

Behavioral Tendencies

Inclinations or propensities to act or behave in certain ways, often influenced by genetic, environmental, and psychological factors.

Positive Affect

A dimension of mood that involves feelings of joy, enthusiasm, and contentment.