Course Code: CSC 5420
Page 1 of 3
Course Examinations 20062007
Course Code & Title
:
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CSC5420 Computer System Performance Evaluation
Student I.D. No.
:
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1
Points Distribution
Problem
Points
Score
problem 1
10
problem 2
10
problem 3
10
problem 4
10
problem 5
10
problem 6
20
problem 7
20
problem 8
10
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Course Code: CSC 5420
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2
Questions
1. You are invited to attend a party in John’s house. There are ten people in the party and they
are randomly seated at a round table. What is the probability that you and your girlfriend will
sit next to each other? Instead of ten people, what is the probability if we want to generalize
it to any
N
people in the table.
2. Among
t
= 60
lottery tickets,
w
= 20
win prizes. We buy
b
= 6
. What is the probability
that
g
= 2
will be winning? Generalize this to arbitrary
t, w, b, g
.
3. Mrs. Lui has made a chicken and a strawberry pie for her husband and her daughter. Eating
more than half of it will give indigestion to anyone. While she is away shopping, her husband
helps himself to a piece of the pie. Then, the daughter comes and has a piece of what is left.
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 Spring '09
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 The Lottery, Probability theory, ........., probability density function, Cumulative distribution function

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