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A 03333 b 02545 c 05000 d 02963 e 00370 1 245 chapter

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Unformatted text preview: 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 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 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 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 1-247 Chapter 01 - An Introduction to Business Statistics 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 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 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 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 1-248 Chapter 01 - An Introduction to Business Statistics 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 58. A machine is produced by a sequence of operations. Typically one defective machine is produced per 1000 parts. What is the probability of two non-defective machines being produced? A. 0.999 B. 0.001 C. 0.002 D. 0.998 E. 0.500 59. A pair of dice is thrown. What is the probability that one of the faces is a 3, given that the sum of the two faces is 9? A. 1/3 B. 1/36 C. 1/6 D. 1/2 E. 1/4 60. A card is drawn from a standard deck. What is the probability the card is an ace, given that it is a club? A. 1/52 B. 1/13 C. 4/13 D. 1/4 1-249 Chapter 01 - An Introduction to Business Statistics 61. A card is drawn from a standard deck. Given that a face card is drawn, what is the probability it will be a king? A. 1/3 B. 1/13 C. 4/13 D. 1/12 E. 1/4 62. Independently a coin is tossed, a card is drawn from a deck, and a die is thrown. What is the probability of observing a head on the coin, an ace on the card, and a five on the die? A. 0.0064 B. 0.1000 C. 0.7436 D. 0.0096 E. 0.5000 63. A family has two children. What is the probability that both are girls, given that at least one is a girl? A. 1/8 B. 1/4 C. 1/2 D. 1/3 E. 1/6 64. What is the probability of winning four games in a row, if the probability of winning each game individually is 1/2? A. 1/4 B. 1/8 C. 1/2 D. 3/16 E. 1/16 1-250 Chapter 01 - An Introduction to Business Statistics 65. At a college, 70 percent of the students are women and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table. What is the probability that a student is female and a C student? A. .45 B. .50 C. .70 D. .25 E. .05 66. At a college, 70 percent of the students are women and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table. What is the probability that a student is male and not a C student? A. .45 B. .50 C. .70 D. .25 E. .05 1-251 Chapter 01 - An Introduction to Business Statistics 67. At a college, 70 percent of the students are women and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table. If the student is male, what is the probability he is a C student? A. 0.05 B. 0.10 C. 0.30 D. 0.17 E. 0.50 68. At a college, 70 percent of the students are women and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table. If the student has received a grade of C, what is the probability that he is male? A. 0.05 B. 0.10 C. 0.30 D. 0.17 E. 0.50 1-252 Chapter 01 - An Introduction to Business Statistics 69. At a college, 70 percent of the students are women and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table. If the student has received a grade of C, what is the probability that she is female? A. 0.45 B. 0.90 C. 0.70 D. 0.64 E. 0.50 70. Two percent (2%) of the customers of a store buy cigars. Half of the customers who buy cigars buy beer. 25 percent who buy beer buy cigars. Determine the probability that a customer buys beer. A. 0.25 B. 0.01 C. 0.04 D. 0.50 E. 0.005 71. Two percent (2%) of the customers of a store buy cigars. Half of the customers who buy cigars buy beer. 25 percent who buy beer buy cigars. Determine the...
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