A Table of Joint Probabilities Is Shown Below Are the Events a and B Independent? Explain

question 103

Essay

A table of joint probabilities is shown below. $$\begin{array} { | c | c | c | c | } \hline & A _ { 1 } & A _ { 2 } & A _ { 3 } \\\hline B _ { 1 } & 0.15 & 0.25 & 0.20 \\\hline B _ { 2 } & 0.10 & 0.15 & 0.15 \\\hline\end{array}$$ Are the events A and B independent? Explain.

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Definitions:

Production Cost

The total expense incurred in the manufacture of a product, including raw materials, labor, and overhead costs.

Black Market

Illegal trade of goods and services, beyond government control, where transactions typically occur “under the table” to avoid taxes or regulations.

Illegal Goods

Products or services whose production, sale, or possession is prohibited by law.

Legal System

A legal system encompasses the rules, statutes, and regulations instituted by a government to regulate behaviors, enforce rights, and resolve disputes.