Math 203 Mid-Term Take Home Spring 21 1. In a county, men constitute 60% of the labor force. The rates of unemployment are 5% for men and 4% for women. Suppose one person is selected at random from the labor force and define the events A = the person is a man, B = the person is unemployed. 5pt ea. (Must show your work). a. Draw a Venn diagram and Contingency Table that depicts this problem. b. What is the probability that the person selected is unemployed. C. What is the probability that the person selected is an unemployed woman. d. given that the selected person is unemployed, what is the probability that the person is a man? e. Are events A and B independent? Justify your answer mathematically