A consumer survey was conducted to examine patterns in ownership of tablet computers, cellular telephones, and Blu-ray players. The following data were obtained: 315 people had tablet computers, 236 had cell phones, 269 had Blu-ray players, 69 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?
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: 315 people had tablet computers, 236 had cell phones, 269 had Blu-ray players, 69 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?
Solution
(a) To find the percentage of people who owned a cell phone, we need to add the number of people who had a cell phone alone, those who had a cell phone and a Blu-ray player, and those who had all three devices.
So, the total number of people who owned a cell phone is 236 (cell phones only) + 94 (cell phones and Blu-ray players) + 69 (all three devices) = 399 people.
Assuming the total number of people surveyed is the sum of people who had at least one device and those who had none, we get 315 (tablets) + 236 (cell phones) + 269 (Blu-ray players) - 69 (all three, subtracted to avoid double counting) + 64 (none) = 815 people.
Therefore, the percentage of people who owned a cell phone is (399 / 815) * 100 = 48.9% (rounded to one decimal place).
(b) The percentage of people who owned only a cell phone is (57 / 815) * 100 = 7.0% (rounded to one decimal place).
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