Question 2 A personnel manager has cross-classified the 400 employees of a firm according to their record of absenteeism last year and according to whether or not they were smokers, as shown in the accompanying table. One of these employees is selected at random: Number of Days Absent Smoker Non-Smoker Total Less than 10 34 260 294 10 or more 78 28 106 Total 112 288 400 a) What is the probability that the employee is a smoker? b) What is the probability that the employee was absent for 10 or more days and is a non- smoker? c) What is the probability that the employee is a smoker or absent for less than 10 days? d) What is the probability that the employee selected was a smoker given that he was absent for 10 or more days? e) Are the events non-smoker and absent less than 10 days mutually exclusive? Are they independent? Explain.