Homework Help is Here – Start Your Trial Now!
Math
Statistics
Are the events A and B mutually exclusive? d) Are the events A and C disjoint? e) Are the events A and B independent?

Are the events A and B mutually exclusive? d) Are the events A and C disjoint? e) Are the events A and B independent?

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
**Question 2: Probability Exercise** Suppose \( S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \) and let the sets be defined as follows: - \( A = \{1, 2, 3, 4, 5\} \) - \( B = \{4, 5, 6, 7, 8\} \) - \( C = \{7, 9\} \) Find the following probabilities: *(The image does not include any graphs or diagrams.)*
Transcribed Image Text:**Question 2: Probability Exercise** Suppose \( S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \) and let the sets be defined as follows: - \( A = \{1, 2, 3, 4, 5\} \) - \( B = \{4, 5, 6, 7, 8\} \) - \( C = \{7, 9\} \) Find the following probabilities: *(The image does not include any graphs or diagrams.)*
### Questions on Event Relationships **c) Are the events A and B mutually exclusive?** **d) Are the events A and C disjoint?** **e) Are the events A and B independent?** --- **Explanation:** - **Mutually Exclusive Events:** Events A and B are mutually exclusive if they cannot both occur at the same time. This means that if event A occurs, event B cannot, and vice versa. - **Disjoint Events:** This is another term for mutually exclusive events. Therefore, if events A and C are disjoint, they cannot occur simultaneously. - **Independent Events:** Events A and B are independent if the occurrence of one does not affect the probability of the other occurring. This means the probability of A occurring is the same whether or not B occurs.
Transcribed Image Text:### Questions on Event Relationships **c) Are the events A and B mutually exclusive?** **d) Are the events A and C disjoint?** **e) Are the events A and B independent?** --- **Explanation:** - **Mutually Exclusive Events:** Events A and B are mutually exclusive if they cannot both occur at the same time. This means that if event A occurs, event B cannot, and vice versa. - **Disjoint Events:** This is another term for mutually exclusive events. Therefore, if events A and C are disjoint, they cannot occur simultaneously. - **Independent Events:** Events A and B are independent if the occurrence of one does not affect the probability of the other occurring. This means the probability of A occurring is the same whether or not B occurs.
Expert Solution
Step 1

Given that 

S = {1,2,3,4,5,6,7,8,9,10} 

A = {1,2,3,4,5},

B = {4,5,6,7,8}

C= {7,9}.

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
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