ISYE 6644 Final Exam – Simulation and Modeling for Engineering and Science –Questions with Correct Answers & Rationales – Georgia Tech (Latest 2026/2027)

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ISYE 6644 Final Exam – Simulation and Modeling for Engineering and Science –Questions with Correct Answers & Rationales – Georgia Tech (Latest
2026/2027)


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


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

Question 3
pts

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

,Correct!
a.Yes
b.No

Question 4
pts
If and are i.i.d. random variables, find . a. 0
b.10
c. 20
Correct!
d.52
e.208

Question 5
pts
If and
a. 0
b. 1/4Correct!
c. 1/2
d. 1

e. 2 are i.i.d. random variables, find .

, lOMoARcPSD|63 11670 0




are i.i.d. , what is the distribution of ?
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

Question 8
pts
, ,
If variance are i.i.d. normal, with , what is the maximum likelihood estimator for the

, , ,




are i.i.d. , with , what is the maximum likelihood estimator for ?




Question 10 3
/ 3 pts
Suppose and are i.i.d. , and let . Find . a. 0.16
Correct!
b.0.21
c. 0.79
d.0.84
e.1.00

Question 11
pts

Suppose you observe six i.i.d. realizations . What's the maximum likelihood
estimate of ?