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Solved: Social MediaHarris Interactive conducted a survey

Chapter 4, Problem 45AYU

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QUESTION:

Problem 45AYU

Social MediaHarris Interactive conducted a survey in 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

Use social media

117

89

83

49

338

Do not use

33

36

57

66

192

social media

 

 

 

 

 

Total

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?

Questions & Answers

QUESTION:

Problem 45AYU

Social MediaHarris Interactive conducted a survey in 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

Use social media

117

89

83

49

338

Do not use

33

36

57

66

192

social media

 

 

 

 

 

Total

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?

ANSWER:

Answer:

Step 1

 

18-34

35-44

45-54

55+

Total

Use social media

117

89

83

49

338

Do not use

Social media

33

36

57

66

192

Total

150

125

140

115

530

(a) If an adult American is randomly selected, the probability he or she uses social media is

            = = 0.6377

(b) If an adult American is randomly selected, the probability he or she is 45 to 54 years of age is

          =  = 0.2641

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