In: Statistics and Probability
The contingency table below shows the results of a survey of video viewing habits by age.
ideo Viewing Platform Preferred | |||||||||||
Viewer Age | Mobile/Laptop Device | TV Screen | Row Total | ||||||||
18–34 | 30 | 38 | 68 | ||||||||
35–54 | 10 | 10 | 20 | ||||||||
55+ | 3 | 9 | 12 | ||||||||
Column Total | 43 | 57 | 100 | ||||||||
Find the following probabilities or percentages:
(a) Probability that a viewer is aged 18–34.
(Round your answer to 2 decimal places.)
Probability
(b) Probability that a viewer prefers watching videos on a
TV screen. (Round your answer to 2 decimal
places.)
c) Percentage of viewers who are 18–34 and
prefer videos on a mobile or laptop device.
Percentage of viewers
%
(d) Percentage of viewers given they are 18–34 who prefer
videos on a mobile or laptop device. (Round your answer to
2 decimal places.)
Percentage of viewers
%
(e) Percentage of viewers who are 35–54 or prefer videos
on a mobile or laptop device.
Percentage of viewers
%
Probability
ANSWER::
ideo Viewing Platform Preferred | |||||||||||
Viewer Age | Mobile/Laptop Device | TV Screen | Row Total | ||||||||
18–34 | 30 | 38 | 68 | ||||||||
35–54 | 10 | 10 | 20 | ||||||||
55+ | 3 | 9 | 12 | ||||||||
Column Total | 43 | 57 | 100 |
a) The probability that a viewer is aged 18–34
ANS:: 68/100 = 0.68
b) The probability that a viewer prefers watching videos on a TV screen =
ANS:: 57/100 = 0.57
c) Percentage of viewers who are 18–34 and prefer videos on a mobile or laptop device
ANS:: 30/100 * 100 = 30%
d) Percentage of viewers given they are 18–34 who prefer videos on a mobile or laptop device
ANS:: 30/100 * 100 = 30%
e) Percentage of viewers who are 35–54 or prefer videos on a mobile or laptop device
10/100*100 = 10%
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