ISYE 6644| Final Exam Simulation| Questions and answers | Updated 100% correct

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5/21/25, 12:48 AM Final Exam: Simulation - ISYE-6644-OAN/O01/AO
This attempt took 86 minutes.
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Question 1
pts
Let's use Newton's method with to find an approximate solution to . After 2 iterations, what is the approximate value
of ? Use 3 decimal places.
a. 1.410Correct!

b. 1.417
c. 1.448
d. 1.500
e. 1.514
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Question 2
pts

Suppose and have joint p.d.f. for , . Find .
a. 1/4
b. 1/2
Correct!
c. 3/4
d. 2/3
e. 1
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Question 3
pts

YES or NO? Consider again the joint p.d.f. from the previous question for , . Are and independent
random variables?

Correct!
a. Yes
b. No

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Question 4
pts
If and are i.i.d. random variables, find .
a. 0
b. 10
c. 20
Correct!
d. 52
e. 208
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Question 5
pts
If and
a. 0
b. 1/4
Correct!
c. 1/2
d. 1
e. 2 are i.i.d. random variables, find .
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Question 6
pts
If
a.
b. are i.i.d. , what is the distribution of ?
c.
Correct!
d. Both (b) and (c)
e. All of the above.

, lOMoARcPSD|63116700




5/21/25, 12:48 AM Final Exam: Simulation - ISYE-6644-OAN/O01/AO

Question 7
pts

Find the sample variance of the four observations: 4, 4, 5 and

10. a. 2.87

b. 5.75
c. 6.19
d. 7.33Correct!
e. 8.25
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Question 8
pts
, ,
If variance ? are i.i.d. normal, with , and , what is the maximum likelihood estimator for the
a. 0.17 Correct!

b. 5.50
c. 6.88
d. 7.33
e. 10.33
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Question 9
pts
If , ,
a. 1/6
Correct!
b. 1/5.75
c. 5.75
d. 6
e. 8.25 are i.i.d. , with , and , what is the maximum likelihood estimator for ?