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Solved: Social MediaHarris Interactive conducted a survey
Chapter 4, Problem 45AYU(choose chapter or problem)
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