10/3/21, 3:55 PM ISyE 6644 - Summer 2021 - Final Exam : Simulation - ISYE-6644-A/OAN/O01
ISyE 6644 - Summer 2021 - 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.
If you run into a technical issue during your exam, please contact Canvas:
Canvas: Call 1-877-259-8498 or use the chat http://cases.canvaslms.com/liveagentchat?
chattype=student (http://cases.canvaslms.com/liveagentchat?chattype=student)
HonorLock: Use the chat function in the HonorLock window.
BEFORE YOU TAKE THIS QUIZ
You will need to complete verification.
onorlock Chrome
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s exam (https://honorlock.com/legal/terms)
requires Google Chrome and the
l k Ch E i
This quiz is no longer available as the course has been concluded.
https://gatech.instructure.com/courses/187990/quizzes/279847?module_item_id=1796916 1/20
,10/3/21, 3:55 PM ISyE 6644 - Summer 2021 - 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
4
−
1
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
https://gatech.instructure.com/courses/187990/quizzes/279847?module_item_id=1796916 2/20
, 10/3/21, 3:55 PM ISyE 6644 - Summer 2021 - 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
∑
i=1
Z
2
i
?
a. Nor(0, 2n)
b. Pois(2n)
orrect Answer c. χ2 (2n)
ou Answered d. Both (b) and (c)
e. All of the above.
https://gatech.instructure.com/courses/187990/quizzes/279847?module_item_id=1796916 3/20
ISyE 6644 - Summer 2021 - 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.
If you run into a technical issue during your exam, please contact Canvas:
Canvas: Call 1-877-259-8498 or use the chat http://cases.canvaslms.com/liveagentchat?
chattype=student (http://cases.canvaslms.com/liveagentchat?chattype=student)
HonorLock: Use the chat function in the HonorLock window.
BEFORE YOU TAKE THIS QUIZ
You will need to complete verification.
onorlock Chrome
© 2021 Honorlock Inc. Support
xtension
(https://honorlock.com/support) Privacy Policy
(https://honorlock.com/legal/app_privacy) Terms
of Service
s exam (https://honorlock.com/legal/terms)
requires Google Chrome and the
l k Ch E i
This quiz is no longer available as the course has been concluded.
https://gatech.instructure.com/courses/187990/quizzes/279847?module_item_id=1796916 1/20
,10/3/21, 3:55 PM ISyE 6644 - Summer 2021 - 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
4
−
1
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
https://gatech.instructure.com/courses/187990/quizzes/279847?module_item_id=1796916 2/20
, 10/3/21, 3:55 PM ISyE 6644 - Summer 2021 - 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
∑
i=1
Z
2
i
?
a. Nor(0, 2n)
b. Pois(2n)
orrect Answer c. χ2 (2n)
ou Answered d. Both (b) and (c)
e. All of the above.
https://gatech.instructure.com/courses/187990/quizzes/279847?module_item_id=1796916 3/20
