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:

Taxpayer and Spouse

The term used to refer to individuals filing a joint tax return, typically a married couple.

Married Person

A tax filing status for individuals who are legally married, affecting tax brackets, allowances, and potential deductions.

Tax Liability

The total amount of tax owed to a taxing authority, such as the IRS, based on taxable income and tax rate.

Personal and Dependency

Terms related to exemptions that can be claimed on tax returns for oneself and for dependents, affecting taxable income.