The contingency table below shows the results of a survey of online video viewin

Question

The contingency table below shows the results of a survey of online video viewing by age Type of Videos Preferred Viewer Age 18-34 35-54 55+ TV Row Total 39 10 User Created 34 10 2 46 73 20 7 100 5 54 Column Total Find the following probabilities or percentages (a) Probability that a viewer is aged 18-34 Probability (b) Probability that a viewer prefers watching TV videos Probability (c) Percentage of viewers who are 18-34 and prefer watching user-created videos Percentage of viewers (d) Percentage of viewers aged 18-34 who prefer watching user-created videos. (Round your answer to 2 decimal places.) Percentage of viewers (e) Percentage of viewers who are 35-54 or prefer user-created videos Percentage of viewers

Explanation / Answer

Probability = Favourable outcomes/Total Outcomes

(a) P(Viewer is 18-34). Favourable = 73, Total = 100. Probability = 73/100 = 0.73

(b) P(Viewer prefers TV videos). Favourable =54, Total = 100. Probability = 54/100 = 0.54

(c) Viewers who are 18-34 and watch User created videos = 34. Therefore the required % = (34/100) x 100 = 34%

(d) Here There are 73 viewers in the age category 18-34 of which 34 watch User created videos. Therefore the required percentage = (34/73) x 100 = 46.57%

(e) Total viewers who are 35-54 = 20. Total viewers who prefer user created videos = 46 . There are 10 viewers who are common to both and needs to be subtracted.

Therefore total viewers who are 35-54 or prefer user created videos = 20 + 46 - 10 = 56.

Therefore the required % = (56/100)x 100 = 56%

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