Using the Data Below, What Would Be the Joint Probabilities

question 6

Multiple Choice

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

• 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:

Central Switching

Management and direction of data traffic in a network by a device or software that determines the optimal path for data to be forwarded to its destination.

Complex Nervous Systems

Intricate networks of neurons and synapses within organisms that process sensory input, regulate bodily functions, and guide behavior.

Animal Spirits

A term used to describe the instinctive or emotional aspects of human behavior, often used in economic contexts to explain fluctuations in consumer confidence and decision-making.

Analytic Geometry

A branch of mathematics that uses algebraic equations to represent and solve geometric problems in a coordinate system.