Use Random-Variable Notation to Represent the Event $\{ X = 2 \}$

question 22

Multiple Choice

Use random-variable notation to represent the event.
-Suppose that two balanced dice are rolled. Let X denote the absolute value of the difference of the two numbers. Use random-variable notation to represent the event that the absolute value of the
Difference of the two numbers is 2.

• A) \(\{ X = 2 \}\)
• B) \(P \{ X = 2 \}\)
• C) \(| X | = 2\)
• D) \(\{ ( 1,3 ) , ( 2,4 ) , ( 3,5 ) , ( 4,6 ) , ( 3,1 ) , ( 4,2 ) , ( 5,3 ) , ( 6,4 ) \}\)

Appreciate the importance of software in management information systems.

Differentiate between various computing models and their business applications.

Acknowledge the role of data management and analytics in business decision-making.

Grasp the concept and utility of artificial intelligence and expert systems in enhancing business operations.

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Definitions:

Decision Trees

A graphical representation used for making decisions and showing the outcomes of different choices, often used in business for strategic planning or in artificial intelligence for predicting outcomes.

Sequence of Decisions

A series of choices made over time, where the outcome of one decision impacts the choices available in the next decision.

EMV

Expected Monetary Value, a concept used in decision-making under uncertainty, representing the sum of possible outcomes weighted by their respective probabilities and monetary values.

Decision Tree

A decision tree is a graphical representation used to visualize the choices in a decision-making process, their possible outcomes, chance event results, and resource costs, aiding in analysis and planning.