Using the Data Below, Which of the Following Would Be

question 12

Multiple Choice

Using the data below, which of the following would be the posterior probabilities, P(S_j | U) ? ?
? $$\begin{array} { c c c } \begin{array} { c } \text { States of Nature } \\( s j ) \end{array} & \begin{array} { c } \text { Prior } \\\text { Probabilities } \\P ( s j ) \end{array} & \begin{array} { c } \text { Conditional } \\\text { Probabilities } \\P ( U \mid s j ) \end{array} \\\hline s 1 & 0.65 & 0.75 \\s 2 & 0.20 & 0.35 \\s 3 & 0.15 & 0.20 \\\hline \text { Total } & 1.00 & \\\hline\end{array}$$ ?

• A)0.83, 0.12, and 0.05
• B)0.49, 0.07, and 0.03
• C)0.47, 0.49, and 0.04
• D)1.00, 0.59, and 1.00

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Definitions:

Sanctions

Sanctions are measures of enforcement through rewards or punishments used to promote conformity to norms and laws within a society.

Internally Diverse

Refers to the existence of variations, differences, and complexities within a single group, community, or system.

Western Europeans

People originating from or residing in western Europe, often associated with specific cultural, economic, and political characteristics distinct from other regions.

Dominant Culture

The prevailing culture in a particular society, which holds the majority of power and influence, shaping norms, values, and customs.