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Asked if you will cast your vote for a party the following feedback is obtained: - Yes No Don't know Adult Male 10 ,20 ,5 Adult Female 20 ,15 ,5 Youth over 18 years 10, 5, 10 If A = set of Adult Males C = Common set of Women and Youth Y = set of positive opinion N= set of negative opinion then [A∩(Y∩N)']?
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Asked if you will cast your vote for a party the following feedback is...
Solution:
The given table can be represented as follows:
| | Yes | No | Don't know |
|---------|-----|----|------------|
| Adult M | 10 | 20 | 5 |
| Adult F | 20 | 15 | 5 |
| Youth | 10 | 5 | 10 |
Let us first simplify the expression [Y∩N]'.
[Y∩N] represents the set of people who have a positive opinion and a negative opinion. Taking the complement of this set gives us the set of people who do not have both opinions, i.e., either they have a positive opinion or a negative opinion.
- For Adult Males: [Y∩N]' = [(Yes U Don't know) ∩ No]'
- (Yes U Don't know) represents the set of people who have either a positive or neutral opinion.
- Taking the complement of this set gives us the set of people who do not have a positive or neutral opinion, i.e., they have a negative opinion.
- No represents the set of people who have a negative opinion.
- Taking the intersection of these two sets gives us the set of people who have a negative opinion and do not have a positive or neutral opinion.
- Therefore, [A∩(Y∩N)'] = [Adult Males ∩ (No U (Yes U Don't know)')].
- For Common set of Women and Youth: [Y∩N]' = [(Yes U Don't know) ∩ No]'
- (Yes U Don't know) represents the set of people who have either a positive or neutral opinion.
- Taking the complement of this set gives us the set of people who do not have a positive or neutral opinion, i.e., they have a negative opinion.
- No represents the set of people who have a negative opinion.
- Taking the intersection of these two sets gives us the set of people who have a negative opinion and do not have a positive or neutral opinion.
- Therefore, [C∩(Y∩N)'] = [(Women U Youth) ∩ (No U (Yes U Don't know)')].
Hence, the expression [A∩(Y∩N)'] represents the set of adult males who have a negative opinion and do not have a positive or neutral opinion, with respect to voting for a party. The same logic applies to the expression [C∩(Y∩N)'].
The given table can be represented as follows:
| | Yes | No | Don't know |
|---------|-----|----|------------|
| Adult M | 10 | 20 | 5 |
| Adult F | 20 | 15 | 5 |
| Youth | 10 | 5 | 10 |
Let us first simplify the expression [Y∩N]'.
[Y∩N] represents the set of people who have a positive opinion and a negative opinion. Taking the complement of this set gives us the set of people who do not have both opinions, i.e., either they have a positive opinion or a negative opinion.
- For Adult Males: [Y∩N]' = [(Yes U Don't know) ∩ No]'
- (Yes U Don't know) represents the set of people who have either a positive or neutral opinion.
- Taking the complement of this set gives us the set of people who do not have a positive or neutral opinion, i.e., they have a negative opinion.
- No represents the set of people who have a negative opinion.
- Taking the intersection of these two sets gives us the set of people who have a negative opinion and do not have a positive or neutral opinion.
- Therefore, [A∩(Y∩N)'] = [Adult Males ∩ (No U (Yes U Don't know)')].
- For Common set of Women and Youth: [Y∩N]' = [(Yes U Don't know) ∩ No]'
- (Yes U Don't know) represents the set of people who have either a positive or neutral opinion.
- Taking the complement of this set gives us the set of people who do not have a positive or neutral opinion, i.e., they have a negative opinion.
- No represents the set of people who have a negative opinion.
- Taking the intersection of these two sets gives us the set of people who have a negative opinion and do not have a positive or neutral opinion.
- Therefore, [C∩(Y∩N)'] = [(Women U Youth) ∩ (No U (Yes U Don't know)')].
Hence, the expression [A∩(Y∩N)'] represents the set of adult males who have a negative opinion and do not have a positive or neutral opinion, with respect to voting for a party. The same logic applies to the expression [C∩(Y∩N)'].
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Asked if you will cast your vote for a party the following feedback is obtained: - Yes No Don't know Adult Male 10 ,20 ,5 Adult Female 20 ,15 ,5 Youth over 18 years 10, 5, 10 If A = set of Adult Males C = Common set of Women and Youth Y = set of positive opinion N= set of negative opinion then [A∩(Y∩N)']?
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Asked if you will cast your vote for a party the following feedback is obtained: - Yes No Don't know Adult Male 10 ,20 ,5 Adult Female 20 ,15 ,5 Youth over 18 years 10, 5, 10 If A = set of Adult Males C = Common set of Women and Youth Y = set of positive opinion N= set of negative opinion then [A∩(Y∩N)']? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Asked if you will cast your vote for a party the following feedback is obtained: - Yes No Don't know Adult Male 10 ,20 ,5 Adult Female 20 ,15 ,5 Youth over 18 years 10, 5, 10 If A = set of Adult Males C = Common set of Women and Youth Y = set of positive opinion N= set of negative opinion then [A∩(Y∩N)']? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Asked if you will cast your vote for a party the following feedback is obtained: - Yes No Don't know Adult Male 10 ,20 ,5 Adult Female 20 ,15 ,5 Youth over 18 years 10, 5, 10 If A = set of Adult Males C = Common set of Women and Youth Y = set of positive opinion N= set of negative opinion then [A∩(Y∩N)']?.
Asked if you will cast your vote for a party the following feedback is obtained: - Yes No Don't know Adult Male 10 ,20 ,5 Adult Female 20 ,15 ,5 Youth over 18 years 10, 5, 10 If A = set of Adult Males C = Common set of Women and Youth Y = set of positive opinion N= set of negative opinion then [A∩(Y∩N)']? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Asked if you will cast your vote for a party the following feedback is obtained: - Yes No Don't know Adult Male 10 ,20 ,5 Adult Female 20 ,15 ,5 Youth over 18 years 10, 5, 10 If A = set of Adult Males C = Common set of Women and Youth Y = set of positive opinion N= set of negative opinion then [A∩(Y∩N)']? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Asked if you will cast your vote for a party the following feedback is obtained: - Yes No Don't know Adult Male 10 ,20 ,5 Adult Female 20 ,15 ,5 Youth over 18 years 10, 5, 10 If A = set of Adult Males C = Common set of Women and Youth Y = set of positive opinion N= set of negative opinion then [A∩(Y∩N)']?.
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