The Steelcase Workplace Index studied the types of work-related activities that Americans did while on vacation in the summer. Among other things, 40% read work-related material. Thirty-four percent checked in with the boss. Respondents to the study were allowed to select more than one activity. Suppose that of those who read work-related material, 78% checked in with the boss. One of these survey respondents is selected randomly.

a. What is the probability that while on vacation this respondent checked in with the boss and read work-related material?

b. What is the probability that while on vacation this respondent neither read work-related material nor checked in with the boss?

c. What is the probability that while on vacation this respondent read work-related material given that the respondent checked in with the boss?

d. What is the probability that while on vacation this respondent did not check in with the boss given that the respondent read work-related material?

e. What is the probability that while on vacation this respondent did not check in with the boss given that the respondent did not read work-related material?

f. Construct a joint probability table for this problem.