Concept explainers
a.
Identify whether the events are mutually exclusive or not.
a.
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.
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.
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
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