ISYE-6644 Final Exam | Actual Questions and Answers Latest Updated 2025/2026 (Graded A+)

5/21/25, 12:48 AM

ISYE-6644 Final Exam | Actual Questions and Answers Latest Updated 2025/2026 (Graded A+)
This attempt took 86 minutes.


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. 1.410
Correct!
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 , . Are and
independent random variables?

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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 are i.i.d. random variables, find .
a. 0
b. 1/4
Correct!
c. 1/2
d. 1
e. 2


Question 6
pts
If are i.i.d. , what is the distribution of ?
a.
b.
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c.
Correct!
d. Both (b) and (c)
e. All of the above.


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. 7.33
Correct!
e. 8.25


Question 8
pts
If are i.i.d. normal, with , , , and , what is the maximum likelihood estimator for the
variance ?
a. 0.17
Correct!
b. 5.50
c. 6.88
d. 7.33
e. 10.33


Question 9
pts

3/24