True or false: If A and B are mutually exclusive,
- a. P(A È B) = 0
- b. P(A Ç B) = 0
- c. P(A È B) = P(A Ç B)
- d. P(A È B) = P(A) + P(B)
a.
Check whether the statement “
Answer to Problem 19E
The statement “
Explanation of Solution
Here, it is observed that the events A and B are mutually exclusive if they have no common outcomes.
That is,
Therefore, the statement “
Mutually exclusive:
The events A and B are mutually exclusive if they have no common outcomes. That is,
b.
Check whether the statement “
Answer to Problem 19E
The statement “
Explanation of Solution
Here, it is observed that the events A and B are mutually exclusive if they have no common outcomes.
That is,
Therefore, the statement “
Mutually exclusive:
The events A and B are mutually exclusive if they have no common outcomes. That is,
c.
Check whether the statement “
Answer to Problem 19E
The statement “
Explanation of Solution
Here, it is observed that the events A and B are mutually exclusive if they have no common outcomes.
That is,
Therefore, the statement “
Mutually exclusive:
The events A and B are mutually exclusive if they have no common outcomes. That is,
d.
Check whether the statement “
Answer to Problem 19E
The statement “
Explanation of Solution
Here, it is observed that the events A and B are mutually exclusive if they have no common outcomes.
That is,
Therefore, the statement “
Mutually exclusive:
The events A and B are mutually exclusive if they have no common outcomes. That is,
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Chapter 2 Solutions
Statistics for Engineers and Scientists (Looseleaf)
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