RST MAV025015 N831056000 7.P(N)- &P(RON)- 9. Are events and 5 muy velve! Tee in Yor

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The image presents a table of probability values followed by questions requiring computations related to these probabilities. Below is the transcription of the image's text:

---

|           |  R     |  S     |  T    |
| ------  | ----- | ----- | ----- |
| M      | 0.25 | 0.20 | 0.15 |
| N       | 0.31 | 0.36 | 0.38 |

7. \( P(N) = \_\_\_\_\_

8. \( P(L | N) = \_\_\_\_\_

9. Are events N and S mutually exclusive? Type in Y or N.

---

Explanation of Symbols and Question Context:

1. **Table Explanation**:
   - The table displays the joint probabilities for different events M and N under conditions R, S, and T.
   - For instance, the probability of event M occurring under condition R is 0.25, while the probability of event N occurring under condition R is 0.31.
   
2. **Probability Calculations**:
   - Question 7 asks for the computation of \( P(N) \), which is the probability of event N occurring.
   - Question 8 asks for the conditional probability \( P(L | N) \), which needs additional context or data for the event L.
   - Question 9 inquires if events N and S are mutually exclusive, meaning that the occurrence of one event excludes the occurrence of the other.

To answer these questions, one would typically sum the probabilities across the relevant rows or columns and use the rules of conditional probability and mutual exclusivity.

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This layout provides a clear view of the questions for computational practice using the provided probability values.
Transcribed Image Text:The image presents a table of probability values followed by questions requiring computations related to these probabilities. Below is the transcription of the image's text: --- | | R | S | T | | ------ | ----- | ----- | ----- | | M | 0.25 | 0.20 | 0.15 | | N | 0.31 | 0.36 | 0.38 | 7. \( P(N) = \_\_\_\_\_ 8. \( P(L | N) = \_\_\_\_\_ 9. Are events N and S mutually exclusive? Type in Y or N. --- Explanation of Symbols and Question Context: 1. **Table Explanation**: - The table displays the joint probabilities for different events M and N under conditions R, S, and T. - For instance, the probability of event M occurring under condition R is 0.25, while the probability of event N occurring under condition R is 0.31. 2. **Probability Calculations**: - Question 7 asks for the computation of \( P(N) \), which is the probability of event N occurring. - Question 8 asks for the conditional probability \( P(L | N) \), which needs additional context or data for the event L. - Question 9 inquires if events N and S are mutually exclusive, meaning that the occurrence of one event excludes the occurrence of the other. To answer these questions, one would typically sum the probabilities across the relevant rows or columns and use the rules of conditional probability and mutual exclusivity. --- This layout provides a clear view of the questions for computational practice using the provided probability values.
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