Problem # 3 ( 25 pts). Make sure you show your work. Not just answers or you lose 25 pts). A supermarket employs cashiers, delivery personnel, stock clerks, security personnel, and deli personnel. The distribution of employees according to marital status is shown in the following table: Marital Cashier Stock Delivery Security Deli Tota Status (C) Clerks ( Personnel Personnel Personne (E) (N) (I) Married ( 8 12 11 3 2 36 Single (S) 6 20 3 2 3 34 Divorced 5 5 4 1 4 19 (D) Total 19 37 18 6 9. 89 If an employee is selected at random, find these probabilities: a) The employee is a stock clerk or married. b) The employee is a stock clerk given that she/he is married.c) The employee is not single given that she/ he is a cashier or a deli personnel. d) ) Find P [( M U D) | (E U N) ] e) The employee is not divorced given that she/ he is not a stock clerk