42. Social Media Harris Interactive conducted a Slt which they asked adult Ameri

Question

42. Social Media Harris Interactive conducted a Slt which they asked adult Americans (18 years or older) whether they used social media (Facebook, Twitter, and so on) regularly The following table is based on the results of the survey 18-34 35-44 45-54 55+ Total 83 57 49 338 Use social media Do not use social media Total Source: Harris Interactive 89 192 36 150 125 140 115 530 (a) If an adult American is randomly selected, what is the probability he or she uses social media? (b) If an adult American is randomly selected, what is the probability he or she is 45 to 54 years of age? (c) If an adult American is randomly selected, what is the probability he or she is a 35- to 44-year-old social media user? (d) If an adult American is randomly selected, what is the probability he or she is 35 to 44 years old or uses social media?

Explanation / Answer

a)

P(American uses social media) = 338/530 = 0.64

b)

P(American 45-54 years of age) = 140/530 = 0.26

c)

P(American 35-44 years of age and social media user) = 89/530 =0.17

d)

P(American 35-44 years of age OR social media user) = P(American 35-44 years of age)+ P( social media user) - P(American 35-44 years of age and social media user) = (125+338-89)/530 = 0.71

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