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C. In a survey conducted of 100 housewives on the brand of powder detergent they use it was found that: 60 housewives used brand X 30 housewives used brands X and Y 50 housewives used brand Y 25 housewives used brands X and Z 40 housewives used brand Z 20 housewives used brands Y and Z 15 housewives used brands X, Y and Z. a) Use a Venn diagram to describe the given data. b) Find the number of housewives who (1) used brands X and Z but did not use brand Y, and (ii) did not give their opinion.

C. In a survey conducted of 100 housewives on the brand of powder detergent they use it was found that: 60 housewives used brand X 30 housewives used brands X and Y 50 housewives used brand Y 25 housewives used brands X and Z 40 housewives used brand Z 20 housewives used brands Y and Z 15 housewives used brands X, Y and Z. a) Use a Venn diagram to describe the given data. b) Find the number of housewives who (1) used brands X and Z but did not use brand Y, and (ii) did not give their opinion.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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C. In a survey conducted of 100 housewives on the brand of powder detergent they use it was found that: 60 housewives used brand X 30 housewives used brands X and Y 50 housewives used brand Y 25 housewives used brands X and Z 40 housewives used brand Z 20 housewives used brands Y and Z 15 housewives used brands X, Y and Z. a) Use a Venn diagram to describe the given data. b) Find the number of housewives who (i) used brands X and Z but did not use brand Y, and (ii) did not give their opinion.
Transcribed Image Text:C. In a survey conducted of 100 housewives on the brand of powder detergent they use it was found that: 60 housewives used brand X 30 housewives used brands X and Y 50 housewives used brand Y 25 housewives used brands X and Z 40 housewives used brand Z 20 housewives used brands Y and Z 15 housewives used brands X, Y and Z. a) Use a Venn diagram to describe the given data. b) Find the number of housewives who (i) used brands X and Z but did not use brand Y, and (ii) did not give their opinion.
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