Unformatted text preview: probability that a customer neither buys beer nor buys cigars.
A. 0.98
B. 0.95
C. 0.75
D. 0.96
E. 0.50 1253 Chapter 01  An Introduction to Business Statistics 72. An urn contains five white, three red, and four black balls. Three are drawn at random
without replacement.
What is the probability that no ball is red?
A. 0.7500
B. 0.0156
C. 0.2917
D. 0.4219
E. 0.3818 73. The probability of event A occurring given that event B has already occurred is 0.61. The
probability of both events occurring is 0.5. What is the probability of event B occurring?
A. 0.305
B. 0.195
C. 0.390
D. 0.820
E. 0.500 74. What is the probability that any two people chosen at random were born on the same day
of the week?
A. 1/7
B. 1/49
C. 2/7
D. 2/49 75. A letter is drawn from the alphabet of 26 letters. What is the probability that the letter
drawn is a vowel?
A. 5/26
B. 1/26
C. 4/26
D. 21/26 1254 Chapter 01  An Introduction to Business Statistics 76. How many times must a die be tossed if the expected number of ones is five?
A. 5
B. 30
C. 35
D. 6 77. Which of the following are properties of a valid discrete probability distribution?
A. p(X) 0, for all X
B. ∑p(X) = 1
C. A only
D. B only
E. A and B 78. If A and B are independent events, P(A) = .2, and P(B) = .7, determine P(A
A. 0.90
B. 0.14
C. 0.76
D. 0.50
E. 0.24 79. If events A and B are mutually exclusive, calculate P(AB).
A. Can't be determined
B. 0
C. 1
D. 0.50 80. What is the probability of rolling a six with a fair die five times in a row?
A. 1/6
B. 1/46,656
C. 1/7,776
D. 5/7,776 1255 B) Chapter 01  An Introduction to Business Statistics 81. If a product is made using five individual components, and P(product meets
specifications) = P(E) = .98, what is the probability of an individual component meeting
specifications assuming that this probability is the same for all five components?
A. 0.98
B. 0.996
C. 0.004
D. 0.02
E. 0.904 82. If P(AB) = .2 and P(B) = .8, determine the intersection of event A and B.
A. 0.20
B. 1.0
C. 0.25
D. 0.16
E. 0.60 83. If P(A
A. 0.6
B. 0.3
C. 0.5
D. 0.27
E. 0.33 B) = .3 and P(AB) = .9, find P(B). 84. Employees of a local university have been classified according to gender and job type. If an employee is selected at random what is the probability that the employee is male?
A. .667
B. .367
C. .333
D. .500
E. .917 1256 Chapter 01  An Introduction to Business Statistics 85. Employees of a local university have been classified according to gender and job type. If an employee is selected at random what is the probability that the employee is male and
salaried staff?
A. .15
B. .10
C. .38
D. .50
E. .85 86. Employees of a local university have been classified according to gender and job type. If an employee is selected at random what is the probability that the employee is female given
that the employee is a salaried member of staff?
A. .167
B. .500
C. .625
D. 267
E. .375 1257 Chapter 01  An Introduction to Business Statistics 87. Employees of a local university have been classified according to gender and job type. If an employee is selected at random what is the probability that the employee is female or
works as a member of the faculty?
A. 0.73
B. 0.08
C. 0.33
D. 0.70
E. 0.05 88. Employees of a local university have been classified according to gender and job type. If an employee is selected at random what is the probability that the employee is female or
works as an hourly staff member?
A. 0.133
B. 0.533
C. 0.667
D. 0.400
E. 0.333 1258 Chapter 01  An Introduction to Business Statistics 89. Employees of a local university have been classified according to gender and job type. If an employee is selected at random what is the probability that the employee is a member of
the hourly staff given that the employee is female?
A. 0.400
B. 0.133
C. 0.160
D. 0.053
E. 0.533 90. Employees of a local university have been classified according to gender and job type. If an employee is selected at random what is the probability that the employee is a member of
the faculty?
A. 0.333
B. 0.600
C. 0.550
D. 0.400
E. 0.917 1259 Chapter 01  An Introduction to Business Statistics 91. Employees of a local university have been classified according to gender and job type. Is gender and type of job mutually exclusive?
A. Yes
B. No 92. Employees of a local university have been classified according to gender and job type. Is gender and type of job statistically independent?
A. Yes
B. No 93. Four employees who work as drivethrough attendees at a local fast food restaurant are
being evaluated. As a part of quality improvement initiative and employee evaluation these
workers were observed over three days. One of the statistics collected is the proportion of
time employee forgets to include a napkin in the bag. Related information is given in the
table. What is the probability that Cheryl prepared your dinner and forgot to include a napkin?
A. 0.20
B. 0.10
C. 0.45
D. 0.02
E. 0.30 1260 Chapter 01  An Introduction to Business Statistics 94. Four employees who work as drivethrough attendees at a local...
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