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Concept explainers
a.
Identify whether the events are mutually exclusive or not.
a.
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Answer to Problem 148UP
Events A and B are not mutually exclusive.
Explanation of Solution
Mutually Exclusive Events:
Two events A and B are mutually exclusive if there is no element in common. For mutually exclusive events A and B,
From the two events it is clear that, both events can occur together. That is, Team T wins the World Series and Person E and Person R, hit 75 home runs in next year. Therefore, the events are not mutually exclusive.
b.
Explain whether the events are mutually exclusive or not.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 148UP
Events A and B are not mutually exclusive.
Explanation of Solution
Event A represents that Psychiatric patient T responds to a stimulus within 5 seconds and B represents that Psychiatric patient T has the fastest stimulus response time of 2.3 seconds.
From the two events it is clear that, both events can occur together. In other words, either Psychiatric patient T responds to a stimulus within 5 seconds or has fastest stimulus response time of 2.3 seconds. Therefore, the events are not mutually exclusive.
c.
Check whether the events are mutually exclusive or not.
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 148UP
Events A and B are mutually exclusive.
Explanation of Solution
Event A represents that high school graduate Student C enrolls at the University of Country S and B represents that high school graduate Student C does not enroll in college next year.
It is not possible that, high school graduate Student C can both enroll and not enroll in a college. In other worlds, both events cannot be occurs together. Therefore, the events are mutually exclusive.
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Chapter 3 Solutions
Statistics (13th Edition)
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