Chapter 4, Problem 60PS

A survey by the Health Research Institute at PricewaterhouseCoopers

LLP indicated that $80\%$ of “young invincibles� (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.