1200 randomly-selected respondents to a TV marketing survey were asked their age

Question

1200 randomly-selected respondents to a TV marketing survey were asked their age in years 14. (18 to 39 or 40+) and the kind of TV show most often watched. Following table was obtained. (Report your answers as fractions or as decimal values rounded to the nearest hundredth.) Find the probability that a randomly-selected respondent most often watches: (a) drama shows and is age 40+. Answer: _____ (b) drama shows or is age 40+. Answer: _____ (c) drama shows given that viewer is age 40+. Answer: _____

Explanation / Answer

A) P(drama shows and age is 40+) = 124/1200 = 0.103

B) P(drama shows or age is 40+) = P(drama shows) + P(age is 40+) - P(drama shows and age is 40+)

= 274/1200 + 442/1200 - 124/1200

= 0.228 + 0.368 - 0.103

=0.493

C)P(drama shows given that viewer is age 40+) = P( drama shows and age is 40+) / P(age is 40+)

= (124/1200) / (442/1200)

= 0.28

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