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Question
For the purposes of a marketing research, a survey of 1000 women is conducted in a town. The results show that 52 % liked watching comedies, 45% liked watching fantasy movies and 60% liked watching romantic movies. In addition, 25% liked watching comedy and fantasy both, 28% liked watching romantic and fantasy both and 30% liked watching comedy and romantic movies both. 6% liked watching none of these movie genres. Find The number of women who like watching at least two of the given genres
Answer #1 for Questions: For the purposes of a marketing research, a survey of 1000 women is conducted in a town. The results show that 52 % liked watching comedies, 45% liked watching fantasy movies and 60% liked watching romantic movies. In addition, 25% liked watching comedy and fantasy both, 28% liked watching romantic and fantasy both and 30% liked watching comedy and romantic movies both. 6% liked watching none of these movie genres. Find The number of women who like watching at least two of the given genres
For the purposes of a marketing research, a survey of 1000 women is conducted in a town. The results show that 52 % liked watching comedies, 45% liked watching fantasy movies and 60% liked watching romantic movies. In addition, 25% liked watching comedy and fantasy both, 28% liked watching romantic and fantasy both and 30% liked watching comedy and romantic movies both. 6% liked watching none of these movie genres. Find The number of women who like watching at least two of the given genres
Given:
n = 1000 women
52% liked comedies
45% liked watching fantasy movies
60% liked watching romantic movies
atleast 2 genres
25% liked watching comedy and fantasy both
28% liked watching romantic and fantasy both
30% liked watching comedy and romantic movies both
6% liked watching none of these movie genres = > thus, women who liked atleast 1 genre is 94%
Step-by-step explanation:
We will use venn diagram in this problem:
1. Calculate the percent of women who liked all three genres (n)
94% = 52% + 45% + 60% – 25% -28% – 30% + n
= > n = 94% – 52% – 45% – 60% + 25% + 28% + 30%
= > n = 20 %
2. find the percent of women who liked atleast 2 genres
25 % comedy and fantasy – 20 % = 5 %
28 % romantic and fantasy – 20 % = 8 % .
30 % comedy and romantic – 20 % = 10 %
The number of women who like watching at least two of the given genres = (number of women who like watching only two of the genres) + (number of women who like watching all the three genres) = (10 + 5 + 8 + 20)% i.e. 43% of 1000 = 430.
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