Wed., 3/2 Thu., 3/3 Homework Assignment

Wed., 3/2 – Thu., 3/3 Homework Assignment

For questions #1-4, decide if the events are mutually exclusive. Explain your reasoning.

1. Event A: Randomly select a female worker. Event B: Randomly select a worker with a college degree.

2. Event A: Randomly select a male worker. Event B: Randomly select a worker employed part time.

3. Event A: Randomly select a person between 18 and 24 years old. Event B: Randomly select a person between 25 and 34 years old.

4. Event A: Randomly select a person between 18 and 24 years old. Event B: Randomly select a person earning between $20,000 and $29,999.

5. 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 work 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? (Round answer to the nearest thousandth).

6. 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. (Round to the nearest thousandth).

7. A card is selected at random from a standard deck (52). Find each probability. (Round answer to the nearest thousandth). a. Randomly selecting a heart or a 3. b. Randomly selecting a black suit or a king. c. Randomly selecting a 5 or a face card.

8. You roll a die marked 1 – 6. Find each probability. (Round answer to the nearest thousandth). a. Rolling a 6 or rolling a number greater than 4. b. Rolling a number less than 5 or rolling an odd number. c. Rolling a 3 or rolling an even number. d. Rolling a 7.