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26 Oct 2021
Given information
A college finds that of students have taken a distance learning class and that of students are part time
students. Of the part-time students, have taken a distance learning class. Let event that a student takes a distance
learning class and event that a student is a part time student.
Step-by-step explanation
Step 1.
The two events are mutually exclusive when the below condition is fulfilled:
,
Event that a student takes a distance learning class,
Event that a student is a part time student.
It is evident that,
,
Therefore, .
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