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# Set theory with venn diagrams and percentages

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A consumer survey was conducted to examine patterns in ownership of laptop computers, cellular telephones, and DVD players. The following data were obtained: 317 people had laptop computers, 234 had cell phones, 267 had DVD players, 69 had all three, 64 had none, 98 had cell phones and DVD players, 55 had cell phones but no computers or DVD players, and 106 had computers and DVD players but no cell phones. (Round your answers to one decimal place.)

a) What percent of the people surveyed owned a cell phone?

(b) What percent of the people surveyed owned only a cell phone?

Jan 22, 2015

#1
+98196
+5

Here's the Venn diagram for the situation....

The percent surveyed that had a cell phone was 234 / 528 = about 44.3%

The percent that owmed only a cell phone was  55 / 528 = about 10.4%

Jan 22, 2015

#1
+98196
+5

Here's the Venn diagram for the situation....

The percent surveyed that had a cell phone was 234 / 528 = about 44.3%

The percent that owmed only a cell phone was  55 / 528 = about 10.4%

CPhill Jan 22, 2015