Individual Work 3 – Self Test
Iletha Miller
QMB 5355
Robert Miner
October 25, 2015
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, Individual Work 3 – Self Test 2
Individual Work 3 – Self Test
1. The following examples are experiments and their associated random variable. In each
case identify the values the random variable can assume and state whether the random
variable is discrete or continuous:
Experiment Random variable (x)
a. Take a 20- question examination Number of questions answered
correctly
b. Observed cars arriving at a tollbooth Number of cars arriving at the
tollbooth for 1 hours
c. Audits 50 tax returns Number of returns containing
error
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d. Observing an employee’s work Number of nonproductive hours
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e. Weight a shipment of goods Number of pounds
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Question No Experiment Random variable(x) Possible values for Reason for Random
rs e the random variable variable is
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discrete/continuous
a Take a 20 question Number of questions 0, 1, 2, … … . ., Since the random
examination 19, 20. variable takes discrete
values therefore it is
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discrete random
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variable.
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b Observe cars arriving Number of cars 0, 1, 2, 3, . . . . . . . . . Since the random
at a tollbooth arriving at the …. variable takes discrete
tollbooth values therefore it is
for 1 hour discrete random
variable
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c Audit 50 tax returns Number of returns Since the random
0 means
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containing errors variable takes discrete
x=0,1,2,3,. . . . . . , values therefore it is
50 discrete random
variable
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d Observe an Number of non- Since the random
0 means
employee’s work productive hours variable takes discrete
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for 8 hours x=0,1,2, 3,4 5, 6, 7, values therefore it is
8 discrete random
variable
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e Weigh a shipment Number of pounds X=0, 1, 2, 3, …….. Since the random
of goods variable takes discrete
values therefore it is
discrete random
variable
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