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(EA) = .10, P(EB) = .05, and P(EC) = 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(EA) = .10, P(EB) = .05, and P(EC) = 0.
What is P(AE)?
A. 0.045
B. 0.190
C. 0.818
D. 0.100
E. 0.055 1247 Chapter 01  An Introduction to Business Statistics 53. Suppose P(A) = .45, P(B) = .20, P(C) = .35, P(EA) = .10, P(EB) = .05, and P(EC) = 0.
What is P(BE)?
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(EA) = .10, P(EB) = .05, and P(EC) = 0.
What is P (CE)?
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 1248 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 nondefective?
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 nondefective 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 1249 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 1250 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 1251 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 1252 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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