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a survey of 1000 customers revealed the following in respect of their buying habits of different grades a grade only =180 a and c grade =80 c grade =480 a grade but not b grade =230 a grade =360 c and b grades =80 none=140 how many buy b grade? |
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Answer» Given : a survey of 1000 customers revealed the following in respect of their buying habits of different GRADES a grade only =180 a and c grade =80 c grade =480 a grade but not b grade =230 a grade =360 c and b grades =80 none=140 To find : how many Buy B grade Step-by-step explanation: TOTAL Customers = 1000 A grade only = 180 A & C grade A∩C = 80 C grade C = 480 A Grade but not B grade = 230 A grade A = 360 B & C Grades B ∩C= 80 None = 140 like all Grades = A∩B∩C A Grade but not B grade = A only + A∩C - A∩B∩C => 230 = 180 + 80 - A∩B∩C => A∩B∩C = 30 A only = A - A∩B - A∩C + A∩B∩C => 180 = 360 - A∩B - 80 + 30 => A∩B = 130
Total = A + B + C - A∩B - B∩C - A∩C + A∩B∩C + None => 1000 = 360 + B + 480 - 130 - 80 - 80 + 30 + 140 => B = 280 280 Buy B Grade Learn More: In a class of 140 students, 60 play football, 48 play hockey and 75 ... Which two-way table contains the same information as the Venn ... |
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