By G. Li, Don’t Redistributed
STAT 3502 B
Review
Apr 2016
Last Name
First Name
Student Number
Section
1. This is a closed book exam.
2. Answer all questions and show all appropriate steps in your work; otherwise only
partial marks may be awarded.
3. One blank page for your rough calculations are attached to this exam paper.
PART I: Multiple Choice Questions(Please Clearly mark your answer on the scantron )
Each multiple-choice question has 4 marks
Question
1.
An evaluation of a small business by an accounting firm either reveals a problem
with the accounts or it doesnt reveal a problem. Also, the evaluation is either done accurately
or incorrectly.
The probability that the evaluation is done accurately is 0.85.
Furthermore,
the probability that the evaluation is done incorrectly and that it reveals a problem is 0.10. If
the probability that the evaluation is done accurately and it does not reveal a problem is 0.25,
what is the probability that the evaluation does not reveal a problem?
A. 0.10
B. 0.20
C. 0.35
D. 0.40
Question
2.
A random sample of 15 people is taken from a population in which 40% favour a
particular political stand.
What is the probability that exactly 6 individuals in the sample
favour this political stand?
A. 0.4000
B. 0.5000
C. 0.4000
D. 0.2070
Question
3.
Suppose flaws (cracks, chips, specks, etc.) occur on the surface of glass with density
of 3 per square meter. What is the probability of there being exactly 4 flaws on a sheet of glass
of area 0.5 square meter?
A. 0.047
B. 0.168
C. 0.981
D. 0.815
Question
4.
Suppose that an office employs three associates who prepare a certain kind of doc-
ument. Delia prepares 60% of these documents, Francis 30%, and Gino 10%. Delia makes an
error in 10% of the documents that he prepares, Francis in 25%, and Gino in 5%. What is the
probability that a randomly selected document contains an error.
A. 0.4
B. 0.001
C. 0.14
D. 1
Question
5.
The starting annual salaries of newly qualified chartered accountants (CAs) in South
Africa follow a normal distribution with a mean of 180,000 and a standard deviation of 10,000.
What is the minimum annual salary earned by the top 10% of newly qualified CAs?
A. 196,400
B. 192,800
C. 190,300
D. 198,800
Question
6.
Two coins are tossed simultaneously.
If one of them turned head, what is the
probability that the other one also turn head?
A. 0.01
B. 0.05
C. 0.25
D. 0.50
Question
7.
Five people get on an elevator that stops at five floors. Assuming that each has an
equal probability of going to any one floor, find the probability that they all get off at different
floors.
A. 0.0083
B. 0.0080
C. 0.0016
D. 0.0384
PART II: For the following questions clearly show all of your work
c G.Li
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By G. Li, Don’t Redistributed
STAT 3502 B
Review
Apr 2016
Question
1.
When human beings assemble widgets, the proportion of defective widgets is known
to be 0.04. A robot assembled 500 widgets and 12 of them were defective. Is there evidence to
support the hypothesis that robots are better at assembling widgets? If so, at which significance
levels is the evidence statistically significant?