Example 8.5 In a group of 200 university students, 140 are full-time (80 females and 60 males) stu- dents and 60 part-time (40 females and 20 males) students. This break-up of students is shown below: 200 University Students Full-time Part-time Total 60 20 80 Males Females 80 40 120 Two events pertaining to this selection are defined as below: Event A: The student selected is full-time. Event B: The student selected is part-time and male. These two events A and B are mutually exclusive as no student can be both full-time and part-time. Either he or she is a full-time or a part-time student. Show these events in the Venn diagram. Now, introduce another event C, which is defined as 'the student selected is female'. Are the events A and C mutually exclusive? Show this in another Venn diagram. A B 140 ( 20 ) 20 Fig. 8.2 Venn Diagram 40

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Example 8.5 In a group of 200 university students, 140 are full-time (80 females and 60 males) stu-
dents and 60 part-time (40 females and 20 males) students. This break-up of students is shown below:
200 University Students
Part-time
Full-time
Total
60
20
80
Males
Females
80
40
120
Two events pertaining to this selection are defined as below:
Event A: The student selected is full-time.
Event B: The student selected is part-time and male.
These two events A and B are mutually exclusive as no student can be both full-time and part-time.
Either he or she is a full-time or a part-time student. Show these events in the Venn diagram.
Now, introduce another event C, which is defined as 'the student selected is female'. Are the events
A and C mutually exclusive? Show this in another Venn diagram.
AND
А
B
140
( 20 )
slegendum se in
zwonut sih beul sur hans d'a
m
Venn Diagram
Fig. 8.2
40
Transcribed Image Text:Example 8.5 In a group of 200 university students, 140 are full-time (80 females and 60 males) stu- dents and 60 part-time (40 females and 20 males) students. This break-up of students is shown below: 200 University Students Part-time Full-time Total 60 20 80 Males Females 80 40 120 Two events pertaining to this selection are defined as below: Event A: The student selected is full-time. Event B: The student selected is part-time and male. These two events A and B are mutually exclusive as no student can be both full-time and part-time. Either he or she is a full-time or a part-time student. Show these events in the Venn diagram. Now, introduce another event C, which is defined as 'the student selected is female'. Are the events A and C mutually exclusive? Show this in another Venn diagram. AND А B 140 ( 20 ) slegendum se in zwonut sih beul sur hans d'a m Venn Diagram Fig. 8.2 40
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