Probabilities have all the the following properties EXCEPT Ο0 < Σ P(x) <1 Σ P(x) 0 < P(x) <1 = 1 1 - P( NOT A) = P(A)

MATLAB: An Introduction with Applications
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**Probabilities have all the following properties EXCEPT:**

- \(0 \leq \sum P(x) \leq 1\)

- \(\sum P(x) = 1\)

- \(0 \leq P(x) \leq 1\)

- \(1 - P(\text{NOT A}) = P(A)\) (this option is highlighted)
Transcribed Image Text:**Probabilities have all the following properties EXCEPT:** - \(0 \leq \sum P(x) \leq 1\) - \(\sum P(x) = 1\) - \(0 \leq P(x) \leq 1\) - \(1 - P(\text{NOT A}) = P(A)\) (this option is highlighted)
**Question: Which of the following is a random variable?**

- The number worn on the jersey of a hockey player.
- **The number of points scored in a hockey game.** (Correct choice)
- The day of the next hockey game.
- The number of hockey teams in our division.

**Explanation:**

A random variable is a variable whose possible values are numerical outcomes of a random phenomenon. In this question, the "number of points scored in a hockey game" is identified as a random variable because the outcome is uncertain until the game is played, and different outcomes can occur in different games. 

The other options either do not change (e.g., jersey number) or are not inherently random (e.g., day of the next game, number of teams).
Transcribed Image Text:**Question: Which of the following is a random variable?** - The number worn on the jersey of a hockey player. - **The number of points scored in a hockey game.** (Correct choice) - The day of the next hockey game. - The number of hockey teams in our division. **Explanation:** A random variable is a variable whose possible values are numerical outcomes of a random phenomenon. In this question, the "number of points scored in a hockey game" is identified as a random variable because the outcome is uncertain until the game is played, and different outcomes can occur in different games. The other options either do not change (e.g., jersey number) or are not inherently random (e.g., day of the next game, number of teams).
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We have to determine which one is not satisfied dor property of probability. 

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