The contingency table below shows the results of a survey of online video viewin
ID: 2930955 • Letter: T
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+ User Created TV Row Total 30 63 5 49 10 51 15 100 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 Percentage of viewers who are 35-54 or prefer user-created videos. Percentage of viewers (e)Explanation / Answer
a.
p( viewer is aged 18-34) = n(viewer is from 18-34)/n(total) = 63/100 =0.63
b.
p( viewer prefers watching tv videos) = n(viewer is watching tv videos)/n(total) = 51/100 =0.51
c.
P( watching user created and 18-34) = n(watching user created and 18-34)/n(total) = 33/100 = 0.33
d.
P( watching user created videos given that viewer 18-34 ) = P( watching user created and 18-34) / P( 18-34) = (33/100) / (63/100) = 33/63 = 0.5238 = 52.38%
e.
P( watching user created videos given that viewer 35-54 ) = P( watching user created and 35-54) / P( 35-54) = (11/100) / (63/100) = 11/63 = 0.1746 = 17.46%
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