Job Satisfaction According to a survey by The World Economic Forum (WEF) (June 2, 2021), there is a great unrest among employees who are looking forward to resigning from their present jobs. The Forum is concerned that on seeing the resignation trends, many employees may resign even if they are satisfied with their current jobs.

a. Form a contingency table that cross classifies whether a person in the age group of 18-35 years will be satisfied with their job and whether they will resign. Identify the cell that corresponds to the concerns of WEF.

b. Let \(\mathrm{A}\) be the event that a person is not satisfied with their job. Let \(B\) be the event that the person resigns from the job. Sketch a Venn diagram for which each event has similar (not the same) probability, but the probability of a person satisfied with their job not resigning is 0 .

c. For the diagram you sketched in part b, explain why both \(\mathrm{P}(\mathrm{A} \mid \mathrm{B})<1\) and \(\mathrm{P}(\mathrm{B} \mid \mathrm{A})<1\).