A survey by the Health Research Institute at Price-water house Coopers LLP indicated that 80% of "young invincible" (those aged 18 to 24) are likely to share health information through social media, as compared to 45% of "baby boomers" (those aged 45 to 64). Suppose that the survey was based on 500 respondents from each of the two groups.
a. Construct a contingency table.
b. Give an example of a simple event and a joint event.
c. What is the probability that a randomly selected respondent is likely to share health information through social media?
d. What is the probability that a randomly selected respondent is likely to share health information through social media and is in the 45-to-64-year-old group?
e. Are the events "age group" and "likely to share health information through social media" independent? Explain.