ISyE 6644 - Summer 2026 - Final Exam
Due Aug 5 at 11:59pm Points 100 Questions 34
Available Jul 28 at 8am - Aug 13 at 11:59pm 17 days Time Limit 120 Minutes
Instructions
This test is 120 minutes. You're allowed three cheat sheets (6 sides total).
You may use a calculator. You can find Normal, t and Chi-square tables on the last page of this exam
(although you may not need them all - or at all!). You will not need Kolmogorov-Smirnov or ranking-and-
selection tables.
Note that you are not allowed to use Arena (or any other software), even though I'm asking questions
about it.
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This quiz is no longer available as the course has been concluded.
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,10/3/26, 3:55 PM ISyE 6644 - Summer 2026 - Final Exam : Simulation - ISYE-6644-A/OAN/O01
Attempt History
Attempt Time Score
LATEST Attempt 1 120 minutes 73 out of 100
Score for this quiz: 73 out of 100
Submitted Aug 5 at 6:13pm
This attempt took 120 minutes.
Question 1 pts
Suppose X and Y have joint p.d.f. f(x, y) = 8xy for all 0 < y < x < 1.
Find E [ 5X − 1 ].
4 3
a. 1/5
Correct! b. 2/3
c. 4/5
d. 5/6
e. 1
Question 2 pts
YES or NO? Consider again the joint p.d.f. from the previous question,
f(x, y) = 8xy for 0 < y < x < 1.
Are X and Y dependent random variables?
Correct! a. Yes
b. No
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, 10/3/26, 3:55 PM ISyE 6644 - Summer 2026 - Final Exam : Simulation - ISYE-6644-A/OAN/O01
Question 3 pts
If X and Y are i.i.d. Nor(1, 2) random variables, find Var(X − Y + 2).
a. 0
b. 0.5
c. 1
d. 2
Correct! e. 4
Question 4 pts
If Z1, Z2, ⋯ , Z2n are i.i.d. Nor(0, 1), what is the distribution of
∑2n Z 2 ?
i=1 i
a. Nor(0, 2n)
b. Pois(2n)
orrect Answ er
c. χ2 (2n)
ou Answered d. Both (b) and (c)
e. All of the above.
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