Using the Data Below, What Would Be the Joint Probabilities

question 26

Multiple Choice

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

• 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:

Propagation

The act of reproducing, spreading, or increasing in number, commonly used in the context of plants, diseases, ideas, or information.

Collaboration

The action of working with someone to produce or create something, involving joint intellectual effort.

Articulation

The clarity and effectiveness with which thoughts, feelings, or concepts are expressed, or the process of making such expressions clear.

Cohesion

The degree to which members of a group or team stick together, united by shared goals, mutual support, and a sense of belonging.