Please I need help with 14,17,24

166 CHAPTER 3 PROBABILITY Using and Interpreting Concepts 13. Audit 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. (a) Are the events "selecting a week that contained overtime wages" and "selecting a week that contained temporary help wages" mutually exclusive? Explain. (b) 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? 14. Newspaper Survey A college has an undergraduate enrollment of 3500. Of these, 860 are business majors and 1800 are women. Of the business majors, 425 are women. (a) Are the events "selecting a woman student" and "selecting a business major" mutually exclusive? Explain. (b) If a college newspaper conducts a poll and selects students at random to answer a survey, find the probability that a selected student is a woman or a business major. 15. Carton Defects 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. (a) Are the events "selecting a carton with a puncture" and "selecting a car- ton with a smashed corner" mutually exclusive? Explain. (b) If a quality inspector randomly selects a carton, find the probability that the carton has a puncture or has a smashed corner. 16. Can Defects A company that makes soda pop cans finds the probability of producing a can without a puncture is 0.96, the probability that a can does not have a smashed edge is 0.93, and the probability that a can does not have a puncture and does not have a smashed edge is 0.893. (a) Are the events "selecting a can without a puncture" and "selecting a can without a smashed edge" mutually exclusive? Explain. (b) If a quality inspector randomly selects a can, find the probability that the can does not have a puncture or does not have a smashed edge. 17. Selecting a Card A card is selected at random from a standard deck. Find each probability. (a) Randomly selecting a diamond or a 7 (b) Randomly selecting a red suit or a queen (c) Randomly selecting a 3 or a face card 18. Rolling a Die You roll a die. Find each probability. (a) Rolling a 6 or a number greater than 4 (b) Rolling a number less than 5 or an odd number (c) Rolling a 3 or an even number168 CHAPTER 3 PROBABILITY 23. Nursing Majors The table shows the number of male and female students enrolled in nursing at the University of Oklahoma Health Sciences Center for a recent semester. A student is selec is selected at random. Find the probability of each event. (Adapted from University of Oklahoma Health Center Office of Admissions and Records) Nursing majors on-nursing majors Total Males 95 015 1110 Females 700 1727 2427 Total 795 2742 3537 (a) The student is male or a nursing major. (b) The student is female or not a nursing major. (c) The student is not female or a nursing major. (d) Are the events "being male" and "being a nursing major" mutually exclusive? Explain. 24. Left-Handed People In a sample of 1000 people (525 men and 475 women), 113 are left-handed (63 men and 50 women). The results of the sample are shown in the table. A person is selected at random from the sample. Find the probability of each event. Gender Men Women Total Left 113 Dominant Right 462 125 887 Hand Total 525 475 1000 (a) The person is left-handed or a woman. (b) The person is right-handed or a man. (c) The person is not right-handed or a man. (d) The person is a right-handed woman. (e) Are the events "being right-handed" and "being a woman" mutually exclusive? Explain. 25. Charity The table shows the results of a survey that asked 2850 people whether they are involved in any type of charity work. A person is selected at random from the sample. Find the probability of each event. Frequently Occasionally Not at all Total Male 22 +56 195 1472 Female 207 430 741 1378 Total 428 886 1536 2850 (a) The person is frequently or occasionally involved in charity work. (b) The person is female or not involved in charity work at all. (c) The person is male or frequently involved in charity work. (d) The person is female or not frequently involved in charity work. (e) Are the events "being female" and "being frequently involved in charity work" mutually exclusive? Explain