Simulation Homework unit 3, Exercises of Mathematical Modeling and Simulation

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2023/2024

Uploaded on 03/30/2026

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BONUS Week 3 Homework
This is a preview of the published version of the quiz
Started: Jul 2 at 7:53am
Quiz Instructions
1 pts
Question 1
a.
b.
c.
d.
(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
.
1 ptsQuestion 2
a.
(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 .
pf3
pf4

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BONUS Week 3 Homework

 This is a preview of the published version of the quiz Started: Jul 2 at 7:53am

Quiz Instructions

Question 1^1 pts

a. b. c. d. (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 .

Question 2 1 pts

a. (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.

b. c. d.

Question 3 1 pts

a. 1/ b. 2/ c. 3/ d. 1 (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.

Question 4 1 pts

a. - it has lower expected value b. - it has lower MSE c. - it has lower variance d. - it has lower MSE (Lesson 2.14: Estimation.) BONUS: Consider two estimators, and , for an unknown parameter. Suppose that the , , , and. Which estimator might you decide to use and why?

Not saved a. b. c. d. Submit Quiz