Question

A consumer survey was conducted to examine patterns in ownership of tablet computers, cellular telephones, and Blu-ray players. The following data were obtained: 317 people had tablet computers, 232 had cell phones, 267 had Blu-ray players, 67 had all three, 64 had none, 94 had cell phones and Blu-ray players, 57 had cell phones but no computers or Blu-ray players, and 108 had computers and Blu-ray 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?

  

Answer 1

Let T be the event of having a tablet computer, C be the event of having a cell phone, B be the event of having a Blu Ray and N be the event of having none.

So from the given information, T= 317, C= 232, B= 267, N= 64

T and C and B= 67

C and B= 94

And so on

We represent this information in a Venn diagram as follows: