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

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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 19E
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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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Calculus For The Life Sciences
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