4.64 Social Media and Canadians A Vancouver- based Internet marketing firm called 6S Marketing conducted a survey of its database to track the use of social media in Canada. They polled 10,000 Canadians and uncovered some interesting data: 70% of Canadians say they use social media. Facebook is the most popular social networking site, with 70% of people surveyed currently having an account. .47% of Canadians use Twitter, and the majority of users are 19-25 years of age. However, social media blogger Danielle Gauthier challenges the claim that 47% of Canadians use Twitter, arguing that this number is inflated. Perhaps 6S Marketing's database consists of people who have a high likelihood of using Twitter, and hence, the survey may not be representative of the Canadian population.

The results of another survey of 500 Canadians using Twitter are shown in the following probability table. They are classified by education level and age in the probability table.

If one individual is selected at random from that group of 500 individuals, compute the following probabilities:

c. P(A|G)

a. P(A)

d. P(G)

b. P(ANG)

e. P(A UG)

f. P(DIO) g. Are events A and G independent? Justify your answer. h. Are events D and O mutually exclusive? Why or why not? i. Are events D and O independent? Explain. j. Are events A and G mutually exclusive? Why or why not?

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Age 19-25 26-32 33-39 40-46 Other Education (A) (B) (C) (D) (E) Total High School (H) 0.17 0.11 0.09 0.04 0.01 0.42 Post-secondary (G) 0.22 0.13 0.11 0.05 0.01 0.52 Other (0) 0.03 0.02 0.01 0 0 0.06 Total 0.42 0.26 0.21 0.09 0.02 1.00