BONUS Week 3 Homework: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:41 PM
BONUS Week 3 Homework
Due Sep 12 at 8:59pm
Points 7
Questions 7
Available Sep 5 at 5am - Sep 15 at 8:59pm
Time Limit None
This quiz was locked Sep 15 at 8:59pm.
Attempt History
Attempt Time Score
LATEST Attempt 1 less than 1 minute 4 out of 7
Score for this quiz: 4 out of 7
Submitted Sep 12 at 8:36pm
This attempt took less than 1 minute.
Wrong 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).
https://gatech.instructure.com/courses/481336/quizzes/696039?module_item_id=5199948 Page 1 of 6
, BONUS Week 3 Homework: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:41 PM
Wrong answer
!
Question 2
pts
(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.
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:
https://gatech.instructure.com/courses/481336/quizzes/696039?module_item_id=5199948 Page 2 of 6
BONUS Week 3 Homework
Due Sep 12 at 8:59pm
Points 7
Questions 7
Available Sep 5 at 5am - Sep 15 at 8:59pm
Time Limit None
This quiz was locked Sep 15 at 8:59pm.
Attempt History
Attempt Time Score
LATEST Attempt 1 less than 1 minute 4 out of 7
Score for this quiz: 4 out of 7
Submitted Sep 12 at 8:36pm
This attempt took less than 1 minute.
Wrong 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).
https://gatech.instructure.com/courses/481336/quizzes/696039?module_item_id=5199948 Page 1 of 6
, BONUS Week 3 Homework: Simulation - ISYE-6644-ASY, OAN, O01, Q 11/2/25, 12:41 PM
Wrong answer
!
Question 2
pts
(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.
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:
https://gatech.instructure.com/courses/481336/quizzes/696039?module_item_id=5199948 Page 2 of 6
