Question

In: Statistics and Probability

The contingency table below shows the results of a survey of video viewing habits by age....

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            

Solutions

Expert Solution

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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