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Unformatted text preview: pplication Difficulty: Medium Topic: Probability & Counting Rule 43. What is the probability of at least one tail in the toss of three fair coins? A. 1/8 B. 4/8 C. 5/8 D. 7/8 E. 6/8 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Probability 1-291 Chapter 01 - An Introduction to Business Statistics 44. A lot contains 12 items, and 4 are defective. If three items are drawn at random from the lot, what is the probability they are not defective? A. 0.3333 B. 0.2545 C. 0.5000 D. 0.2963 E. 0.0370 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Probability 45. A person has dealt 5 cards from a deck of 52 cards. What is the probability they are all clubs? A. 0.2500 B. 0.0962 C. 0.0769 D. 0.0010 E. 0.0005 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Probability 1-292 Chapter 01 - An Introduction to Business Statistics 46. A group has 12 men and 4 women. If 3 people are selected at random from the group, what is the probability that they are all men? A. 0.4219 B. 0.5143 C. 0.3929 D. 0.0156 E. 0.0045 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Probability 47. Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. If one item is drawn from each container: What is the probability that both items are not defective? A. 0.3750 B. 0.3846 C. 0.1500 D. 0.6154 E. 0.2000 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Probability 1-293 Chapter 01 - An Introduction to Business Statistics 48. Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. If one item is drawn from each container: What is the probability that the item from container one is defective and the item from container 2 is not defective? A. 0.3846 B. 0.2250 C. 0.3750 D. 0.6154 E. 0.1500 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Probability & Independence 49. Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. If one item is drawn from each container: What is the probability that one of the items is defective? A. 0.2250 B. 0.3000 C. 0.0250 D. 0.4500 E. 0.1500 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Probability & Independence 1-294 Chapter 01 - An Introduction to Business Statistics 50. A coin is tossed 6 times. What is the probability that at least one head occurs? A. 63/64 B. 1/64 C. 1/36 D. 5/6 E. 1/2 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Probability & Independence 51. Suppose P(A) = .45, P(B) = .20, P(C) = .35, P(E|A) = .10, P(E|B) = .05, and P(E|C) = 0. What is P(E)? A. 0.222 B. 0.150 C. 0.855 D. 0.315 E. 0.055 P(E) = (.45)(.10) + (.20)(.05) + (.35)(0) = .055 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Probability & Conditional 1-295 Chapter 01 - An Introduction to Business Statistics 52. Suppose P(A) = .45, P(B) = .20, P(C) = .35, P(E|A) = .10, P(E|B) = .05, and P(E|C) = 0. What is P(A|E)? A. 0.045 B. 0.190 C. 0.818 D. 0.100 E. 0.055 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Probability & Conditional 53. Suppose P(A) = .45, P(B) = .20, P(C) = .35, P(E|A) = .10, P(E|B) = .05, and P(E|C) = 0. What is P(B|E)? A. 0.182 B. 0.010 C. 0.050 D. 0.065 E. 0.055 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Probability & Conditional 1-296 Chapter 01 - An Introduction to Business Statistics 54. Suppose P(A) = .45, P(B) = .20, P(C) = .35, P(E|A) = .10, P(E|B) = .05, and P(E|C) = 0. What is P (C|E)? A. 1 B. 0.055 C. 0.032 D. 0 E. 0.005 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Probability & Conditional 55. Given the standard deck of cards, what is the probability of drawing a red card, given that it is a face card? A. 0.500 B. 0.115 C. 0.231 D. 0.077 E. 0.308 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Probability & Conditional 1-297 Chapter 01 - An Introduction to Business Statistics 56. Given a standard deck of cards, what is the probability of drawing a face card, given that it is a red card? A. 0.115 B. 0.500 C. 0.231 D. 0.462 E. 0.308 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Probability & Conditional 57. A machine is made up of 3 components: an upper part, a mid part, and a lower part. The machine is then assembled. 5 percent of the upper parts are defective; 4 percent of the mid parts are defective; 1 percent of the lower parts are defective. What is the probability that a machine is non-defective? A. 0.100 B. 0.903 C. 0.900 D. 0.0002 E. 0.912 (.95) (.96) (.99) = .9029 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Probability & Independence 1-298 Chapter 01 - An Introduction to Business Statistics 58. A machine is produced by a sequence of operations. Typically one defective mac...
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