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Chapter 13: Q 27. (page 847)

Analyzing Survey Data: In a consumer survey of 500 people,

200 indicated that they would be buying a major appliance

within the next month, 150 indicated that they would buy

a car and 25 said that they would purchase both a major

appliance and a car. How many will purchase neither? How

many will purchase only a car?

Short Answer

Expert verified

125 people, will purchase neither

150 people, will purchase only a car

Step by step solution

01

Step 1. Given information

Surveyof500people:200indicatedthattheywouldbebuyingamajorappliance.150indicatedthattheywouldbuyacar.25saidthattheywouldpurchasebothamajorapplianceandacar.

02

Step 2. Calculation

Let:TotalpeopleN=500Numberofpeoplebuyingonlyamajorapplianceben(A)=200Numberofpeoplebuyingonlyacarben(C)=150Numberofpeoplebuyingbothamajorapplianceandacarben(A鈭�C)=25So,Numberofpeoplepurchasingneitherben(A'鈭�B')=N-n(A)+n(C)+n(A鈭�C)n(A'鈭�B')=500-200+150+25n(A'鈭�B')=500-375n(A'鈭�B')=125

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