3.3 HW2 1. If two events are mutually exclusive, why is P(A and B): 0 ? Decide if the following events are mutually exclusive or not. 4. Event A: Randomly select a female worker. Event B: Randomly select a worker with a college degree. 5. Event A: Randomly select a person between 18 and 24 years old. Event B: Randomly select a person between 25 and 34 years old. During a 52-week period, a company paid overtime wages for 18 weeks and hired temporary help for 9 weeks. During 5 weeks, the company paid overtime and hired temporary help. 6. Are the events \"selecting a week that contained overtime wages" and \"selecting a week that contained temporary help wages" mutually exclusive?. 7. If an auditor randomly examined the payroll records for only one week, what is the probability that the payroll for that week contained overtime wages or temporary help wages? A company that makes cartons finds the probability of producing a carton with a puncture is 0.05, the probability that a carton has a smashed corner is 0.08, and the probability that a carton has a puncture and has a smashed corner is 0.004. 8. Are the events \"selecting a carton with a puncture" and \"selecting a car- ton with a smashed corner\" mutually exclusive? Explain. 9. If a quality inspector randomly selects a carton, find the probability that the carton has a puncture or has a smashed corner. A card is selected at random from a standard deck. Find each probability. 10. Randomly selecting a diamond or a 7. 11. Randomly selecting a red suit or a queen. 1 9 nnnnmlu enlantinn a .Q nr a farm hard