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Asked if you will cast your vote for a party the following feed back 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 What is N(A intersection (Y intersection N)') is?
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Asked if you will cast your vote for a party the following feed back i...
Calculation of N(A ∩ (Y ∩ N)'):

First, we need to find out the elements of the sets involved in the equation:

A = set of Adult Males
C = Common set of Women and Youth
Y = set of positive opinion
N = set of negative opinion

Now, we need to find out the complement of (Y ∩ N):

(Y ∩ N)' = Y' ∪ N'

Then, we need to find out the intersection of A and (Y ∩ N)':

A ∩ (Y ∩ N)' = A ∩ (Y' ∪ N')

Since we don't have enough information about the overlap between Y and N, we can't simplify this expression further. But we can use the given data to estimate the sizes of the sets:

- Out of 35 adult males and females, 30 have a negative opinion or are unsure about their voting choice.
- Out of 25 youth over 18 years, 15 have a positive opinion about their voting choice.

So, we can say that:

- Y is a set of at least 15 elements (positive opinions of youth over 18 years).
- N is a set of at least 30 elements (negative opinions or undecided voters among adult males and females).
- C is a set of at least 50 elements (total number of adult males, adult females, and youth over 18 years).

Therefore, we can conclude that:

- A ∩ (Y ∩ N)' is a set of at least 10 elements (number of adult males with a negative opinion or undecided about their voting choice).

In HTML bullet points:

Calculation of N(A ∩ (Y ∩ N)'):

  • Find the elements of the sets involved in the equation: A, C, Y, N.

  • Find the complement of (Y ∩ N): (Y ∩ N)' = Y' ∪ N'.

  • Find the intersection of A and (Y ∩ N)': A ∩ (Y ∩ N)' = A ∩ (Y' ∪ N').

  • Use the given data to estimate the sizes of the sets:


    • Y is a set of at least 15 elements.

    • N is a set of at least 30 elements.

    • C is a set of at least 50 elements.


  • Therefore, A ∩ (Y ∩ N)' is a set of at least 10 elements.

Community Answer
Asked if you will cast your vote for a party the following feed back i...
25 not to vote 20+5
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Asked if you will cast your vote for a party the following feed back 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 What is N(A intersection (Y intersection N)') is?
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