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ES 5.34 The contingency table bclow shows the results of a survey of online vidc

ID: 3063795 • Letter: E

Question

ES 5.34 The contingency table bclow shows the results of a survey of online vidco viewing by agc. Find the following probabilities or percentages: ct a. Probability that a vicwer is aged 18-34. b. Probability that a viewer prefers watching TV videos. c. Percentage of viewers who are 18-34 and prefer watching user-created videos. d. Percentage of viewers aged 18-34 who prefer watching user-created vidcos c. Percentage of viewers who are 35-54 or prefer user created-vidcos. Type of Videos Preferred TV 30 10 8 48 Viewer Age 18-34 35-54 55+ User Created 39 10 Row Total 69 20 Column Total 52 100

Explanation / Answer

a) P(viewer is aged 18-34) = 69 / 100 = 0.69

b) P(viewer prefers wathcing TV) = 48/100 = 0.48

c) P(viewers who are aged 18-34 and prefer watching user creared videos) = 39/100 = 0.39

d) P(viewer prefer watching user creared videos | viewer is aged 18-34) = P(viewers who are aged 18-34 and prefer watching user creared videos) / P(viewer is aged 18-34)

                                      = 0.39 / 0.69

                                      = 0.5652

e) P(viewers who are aged 35-54 or prefer user created videos) = P(viewer is aged 35-54) + P(viewer prefer user created videos) - P(viewers who are aged 35-54 and prefer watching user creared videos)

                                                                    = 20/100 + 52/100 - 10/100

                                                                    = 0.62