Assignment Problems Section 3.3 1. Explain. Let A and B be events. When calculating an OR-type probability, why can't you always assume that P( A or B) = P(A) + P(B)? 2. True or False? Use Figure 1 to answer the question. Events A and B, shown in Figure 1, are mutually exclusive. Figure 1. Venn diagram showing events A and B. Sample space Problem 3-6.Use Table 1 to answer the questions. A sample of people were checked to see which hand they favored. The results from the sample are shown in Table 1. A person is selected at random from the sample. Round answers to 3 decimal places Table 1. Left-handed Persons Men Women Total Left-handed 174 201 375 right-handed 725 657 1382 Total 899 858 1757 3. Find the probability that the person is right-handed or a woman. 4. Find the probability that the person is left-handed or a man. 5. Find the probability that the person is a left-handed woman. 6. Are the events "being left-handed" and "being a woman" mutually exclusive? Section 3.4 7. Calculate. 44 P3 8. Travel choices. There are 5 locations a sales representative must visit and each place will be visited only once. These visits can be done in any order. How many different orders can the sales representative possible arrange? Problems 9-10. The offices of coordinator and secretary in a club will be filled from a pool of 8 candidates. Three of the candidates are automobile salespersons. (Round answers to 3 decimal places.) 9. What is the probability that none of the offices are filled by automobile salespersons? 10. What is the probability that the office of coordinator is filled by a sales person and the other is filled by one who is not a sales person?Assignment Problems Section 3.3 1. Explain. Let A and B be events. When calculating an OR-type probability, why can't you always assume that P( A or B) = P(A) + P(B)? 2. True or False? Use Figure 1 to answer the question. Events A and B, shown in Figure 1, are mutually exclusive. Figure 1. Venn diagram showing events A and B. Sample space Problem 3-6.Use Table 1 to answer the questions. A sample of people were checked to see which hand they favored. The results from the sample are shown in Table 1. A person is selected at random from the sample. Round answers to 3 decimal places Table 1. Left-handed Persons Men Women Total Left-handed 174 201 375 right-handed 725 657 1382 Total 899 858 1757 3. Find the probability that the person is right-handed or a woman. 4. Find the probability that the person is left-handed or a man. 5. Find the probability that the person is a left-handed woman. 6. Are the events "being left-handed" and "being a woman" mutually exclusive? Section 3.4 7. Calculate. 44 P3 8. Travel choices. There are 5 locations a sales representative must visit and each place will be visited only once. These visits can be done in any order. How many different orders can the sales representative possible arrange? Problems 9-10. The offices of coordinator and secretary in a club will be filled from a pool of 8 candidates. Three of the candidates are automobile salespersons. (Round answers to 3 decimal places.) 9. What is the probability that none of the offices are filled by automobile salespersons? 10. What is the probability that the office of coordinator is filled by a sales person and the other is filled by one who is not a sales person?Section 4.1 11. True or False? The variable v is assigned for velocity measurements. Then vvalues would be considered to be discrete data. Problems 12-16. Use the probability distribution in Table 2 to answer the questions. Round answers to 3 decimal places. Table 2. Probability distribution 0 1 2 3 4 5 6 7 0.095 0.115 0.136 0.145 0.148 0.157 0.125 0.079 12. What is the mean of the probability distribution? 13. What is the variance of the probability distribution? 14. What is the standard deviation of the probability distribution? 15. What is the expected value of the probability distribution? 16. Interpret the results. (Note: Follow example of interpretations in the worked examples.) Section 4.2 Problems 17-19. Answer the questions. A binomial distribution has n = 264 and p = 0.58. Round answers to 3 decimal places. 17. What is the mean of the binomial distribution? 18. What is the variance of the binomial distribution? 19. What is the standard deviation of the binomial distribution? Problems 20-22. Answer the questions. 10 students are randomly selected from a math course. You are told there is a 84% chance of successfully completing the course. Round answers to 3 decimal places. 20. What is the probability that exactly four students successfully complete the course? 21. What is the probability that at least 6 students successfully complete the course? 22. What is the probability that less than 6 students successfully complete the course? Problems 23-25. Eighteen percent of students say they are unhappy with student lunches. You randomly select 25 students and ask if they are happy with their lunches. (Hint: Review the binomcdf() function on the Tl83/84.) Round answers to 3 decimal places. 23. What is the probability that exactly 8 students say they are happy with their lunches? 24. What is the probability that more than 6 students say they are happy with their lunches? 25. What is the probability that between 4 and 7 (inclusive) students say they are happy with their lunches