ISYE 6644 Bonus Week 3 Homework – Simulation Questions & Answers | Simulation | Georgia Institute of Technology | Fall 2026

9/27/26, 2:23 PM BONUS Week 3 Homework: Simulation - ISYE-6644-OAN/O01/Q/ASY



BONUS Week 3 Homework
Due Sep 18 at 11:59pm
Points 7
Questions 7
Available Sep 11 at 8am - Sep 21 at 11:59pm
Time Limit None
This quiz was locked Sep 21 at 11:59pm.

Attempt History
Attempt Time Score
LATEST Attempt 1 2 minutes 7 out of 7

Score for this quiz: 7 out of 7
Submitted Sep 17 at 10:32pm
This attempt took 2 minutes.
Correct answer

Question 1
pts

(Lesson 2.10: Conditional Expectation.) BONUS: Suppose that

for . Hint (you may have seen this someplace): the marginal p.d.f. of
turns out to be

for . Find the conditional p.d.f. of given that .

a.

b.

c.

d.




So the answer is (a).

Correct answer

Question 2
pts


https://gatech.instructure.com/courses/538298/quizzes/799009?module_item_id=6187744 1/5

, 9/27/26, 2:23 PM BONUS Week 3 Homework: Simulation - ISYE-6644-OAN/O01/Q/ASY

(Lesson 2.10: Conditional Expectation.) BONUS: Again suppose that

for . Hint (you may already have seen this someplace): the the marginal
p.d.f. of turns out to be for . Find .

a.
b.
By the definition of conditional expectation, we have


So the answer is (b).
c.

d.

By the definition of conditional expectation, we have


So the answer is (b).

Correct answer

Question 3
pts
(Lesson 2.10: Conditional Expectation.) BONUS: Yet again suppose that for
. Hint (you may already have seen this someplace): the the marginal p.d.f. of turns
out to be for . Find .
a. 1/2
b. 2/3
c. 3/4

By Law of the Unconscious Statistician and Question 21,



So the answer is (c).

Let's check this answer. First of all, the marginal p.d.f. of is:




Then

Finally, by double expectation, , so the check works!

d. 1


https://gatech.instructure.com/courses/538298/quizzes/799009?module_item_id=6187744 2/5