Using the Data Below, Which of the Following Would Be

question 38

Multiple Choice

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

• 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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