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92. G and H are mutually exclusive events. P(G) = 0.5 P(H) = 0.3 a. Explain why the following statement MUST be false: P(HG) = 0.4. b. Find P(H OR G). c. Are G and H independent or dependent events? Explain in a complete sentence.

92. G and H are mutually exclusive events. P(G) = 0.5 P(H) = 0.3 a. Explain why the following statement MUST be false: P(HG) = 0.4. b. Find P(H OR G). c. Are G and H independent or dependent events? Explain in a complete sentence.

MATLAB: An Introduction with Applications
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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--- ### Probability Exercise **Question 92** Given that the universal rules and the below data hold: - \(P(F) = 0.28\) - \(P(G) = 0.12\) - \(P(F \text{ OR } G) = 0.33\) - \(P(F \text{ AND } G) = 0.07\) **Tasks:** a. **Explain why the following statement MUST be false:** - \(P(G \text{ OR } H) = 0.5\) b. **Find \(P(G \text{ OR } H)\) if \(P(G) = 0.3\) and \(P(H) = 0.4\).** c. **Are G and H independent or dependent events? Explain in a complete sentence.** --- This OpenStax book is available for free at [http://cnx.org/content/col11562/1.18](http://cnx.org/content/col11562/1.18). ---
Transcribed Image Text:--- ### Probability Exercise **Question 92** Given that the universal rules and the below data hold: - \(P(F) = 0.28\) - \(P(G) = 0.12\) - \(P(F \text{ OR } G) = 0.33\) - \(P(F \text{ AND } G) = 0.07\) **Tasks:** a. **Explain why the following statement MUST be false:** - \(P(G \text{ OR } H) = 0.5\) b. **Find \(P(G \text{ OR } H)\) if \(P(G) = 0.3\) and \(P(H) = 0.4\).** c. **Are G and H independent or dependent events? Explain in a complete sentence.** --- This OpenStax book is available for free at [http://cnx.org/content/col11562/1.18](http://cnx.org/content/col11562/1.18). ---
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