ANSWERS A-35 Chapter 11 SECTION 11.1, PAGE 666 1. Experiment 3. Event 5. Theoretical 7. a) 0 b) 1 c) 0, 1 9. 1 11. a) 7 15 b) 1 3 c) 1 5 13. a) 3 7 b) 8 21 c) 1 21 15. a) 0.3064 b) 0.1862 c) 0.1608 17. a) 0.1262 b) 0.8738 c) 0.0489 d) 0.9511 19. a) 24 80 0.3 = b) 11 22 0.5 = c) 8 8 1 = d) 0 90 0 = 21. a) 0 b) 50 250 0.2 = c) 1 23. a) 1 5 b) 4 5 c) 1 3 d) 2 3 25. 1 4 27. 3 4 29. 3 13 31. 1 52 33. 1 26 35. a) 1 4 b) 1 2 c) 1 4 d) 3 4 37. a) 1 2 b) 3 8 c) 1 8 d) 7 8 39. 1 5 41. 1 10 43. 9 10 45. 1 12 47. 1 6 49. 3 4 51. 4 11 53. 7 11 55. 0 57. 4 11 59. 7 11 61. 3 11 63. 5 18 65. 13 18 67. 11 12 69. 0 71. No, it means that if a coin was flipped many times, about 1 2 of the tosses would land heads up. 73. a) Roll a die many times and then determine the relative frequency of 5’s to the total number of rolls. b) Answers will vary. c) Answers will vary. 75. 13 36 77. 23 36 79. 1 3 81. 23 36 83. a) Answers will vary. b) Answers will vary. c) Answers will vary. 85. a) Answers will vary. b) Answers will vary. c) Answers will vary. 87. a) Answers will vary. b) Answers will vary. c) Answers will vary. 88. 29 dots. SECTION 11.2, PAGE 676 1. Against 3. 4 :1 5. 2 :1 7. 1 4 9. a) 1 100 b) 99 100 c) 99 :1 d) 1: 99 11. a) 1 3 b) 2 3 c) 2 :1 d) 1: 2 13. 5:1 15. 2:4or1:2 17. 12:1, 1:12 19. 10:3, 3:10 21. 1:1 23. 5: 3 25. 8: 7 27. 7 :8 29. 8: 7 31. 1 5 33. 1: 4 35. 74 :1 37. 0.34 39. 33:17 41. 4 : 21 43. a) 9 11 b) 2 11 45. a) 7 11 b) 4 11 47. a) 1 101 b) 100 101 49. a) 197 199 b) 2 199 51. a) 89 :11 b) 11:89 53. 1: 9 55. a) 1 4 b) 3 4 c) 3:1 d) 1: 3 57. Horse 2, 1 16 ; Horse 3, 1 2 ; Horse 4, 1 4 ; Horse 5, 3 16 59. 96.5: 3.5 or 193: 7 SECTION 11.3, PAGE 686 1. Expected 3. Positive 5. 52 hot dogs 7. $8800 9. a) 2.2 in. b) 68.2 in. 11. a) $1.60 b) $43.40 13. a) $0.50 − b) $0.50 15. a) $1 − b) $1 17. a) 1 5 b) Yes, because you have a positive expectation of 1 5 c) 1 2 d) Yes, because you have a positive expectation of 1 2 34. a) $2644 b) $10,576 c) $1006.73 d) $321.74 35. a) $56,000 b) $84,000 c) $13,440 d) 6.0% 36. a) 6.0% b) $253.14 c) $4150.36 37. a) 4.5% b) $32.12 c) $1420.37 38. a) $6.31 b) $847.61 c) $508.99 d) $6.62 e) $847.92 39. a) $2.60 b) $546.92 c) $382.68 d) $5.36 e) $549.68 40. a) $33,925 b) $1345.49 c) $515.68 d) $832.35 e) Yes 41. a) $13,485 b) $756.73 c) $24.42 d) $285,907.80 e) $196,007.80 42. a) 4.5% b) $1797.73 c) 6.0% 43. $48,378.57 44. $3668.72 CHAPTER TEST, PAGE 654 1. a) $97.20 b) 2 years 2. $89.78 3. $1989.78 4. $2523.20 5. $123.20 6. a) $7961.99, $461.99 b) $3036.68, $536.68 7. $1997.50 8. $181.46 9. 8.5% 10. a) 4.5% b) $64.13 c) $2836.17 11. a) $12.30 b) $1146.57 c) $765.67 d) $10.72 e) $1144.99 12. $32,250 13. $3655 14. $2694.53 15. $1037.63 16. $1341.80 17. Yes 18. a) $409,451.80 b) $194,451.80 19. $25,858.69 20. $277.28
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