Homework Help is Here – Start Your Trial Now!
Math
Statistics
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.

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.

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
See similar textbooks
icon
Related questions
Question

answer no. 1,2,3 only write 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.
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS