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answer no. 7,8,9 just answer true or false

answer no. 7,8,9 just answer true or false

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 2E: Let E and F be events in a sample space S. aThe probability of E or F occurring is P(EF)= _________....
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answer no. 7,8,9 just answer true or false

1. An algebra is non-empty, closed under complementation, and closed under finite union. 2. The smallest o-algebra will always contain . 3. The first central moment about the mean is 1. 4. If A and B are mutually exclusive events and both have nonzero probabilities, then it is impossible for them to be independent events. 5. Any event A is independent of the sample space 2. 6. If the events say A and B to be independent, then P (A U B) = P(A) + P(B). 7. The second central moment of a random variable X about a constant c is minijſnized if c equals the first raw moment of X. 8. Permutation are arrangement without regard to order. 9. P(AUB)=P(A)P(BIA) if independent. 10. The probability that it will rain tomorrow is 0.4 and the probability that it will not rain tomorrow is 0.53? 11. Classical Probability is also called Posteriori Probability. 12. If S1, S2,,,,,Sn are mutually exclusive the they are exhaustive. 13. P(A-B) = P(A)-P(AUB). 14. Inclusion and Exclusion Formula is used for n-stage probability and all the events are independent. 15. The word "or" means intersection while "and" means union.
Transcribed Image Text:1. An algebra is non-empty, closed under complementation, and closed under finite union. 2. The smallest o-algebra will always contain . 3. The first central moment about the mean is 1. 4. If A and B are mutually exclusive events and both have nonzero probabilities, then it is impossible for them to be independent events. 5. Any event A is independent of the sample space 2. 6. If the events say A and B to be independent, then P (A U B) = P(A) + P(B). 7. The second central moment of a random variable X about a constant c is minijſnized if c equals the first raw moment of X. 8. Permutation are arrangement without regard to order. 9. P(AUB)=P(A)P(BIA) if independent. 10. The probability that it will rain tomorrow is 0.4 and the probability that it will not rain tomorrow is 0.53? 11. Classical Probability is also called Posteriori Probability. 12. If S1, S2,,,,,Sn are mutually exclusive the they are exhaustive. 13. P(A-B) = P(A)-P(AUB). 14. Inclusion and Exclusion Formula is used for n-stage probability and all the events are independent. 15. The word "or" means intersection while "and" means union.
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