ISYE 6644 Week 10 Homework Simulation
Bonus Week 10 Homework
Attempt History
Score for this quiz: 2 out of 3
Submitted Mar 29 at 9:58am
This attempt took 20 minutes.
Question 1
pts
(Lesson 7.11: Composition.) BONUS: It's Raining Cats and Dogs is a pet store with 60% cats and
40% dogs. The weights of cats are Nor(12,4), and the weights of dogs are Nor(30,25). How would
we use composition to simulate the weight of a random pet from the store? (Let denote the
By inverse transform, the weight of a cat all by itself is
Similarly, the weight of a dog all by itself is . These facts eliminate choices (a),
(c), and (e). In addition, (a) and (b) are some kind of mutant cat-dog, both of which sort of combine
0.6 of a cat with 0.4 of a dog; so those are wrong. What we really want is to take with
probability 0.6, and otherwise . This is choice (d)!
Question 2
pts
(Lesson 7.15: Baby Stochastic Processes.) BONUS: Consider a Markov chain in which if it
rains on day ; and otherwise, . Denote the day-to-day transition probabilities by
This study source was downloaded by 100000903674671 from CourseHero.com on 03-02-2026 04:04:15 GMT -06:00
Suppose that the probability state transition matrix is
Bonus Week 10 Homework
Attempt History
Score for this quiz: 2 out of 3
Submitted Mar 29 at 9:58am
This attempt took 20 minutes.
Question 1
pts
(Lesson 7.11: Composition.) BONUS: It's Raining Cats and Dogs is a pet store with 60% cats and
40% dogs. The weights of cats are Nor(12,4), and the weights of dogs are Nor(30,25). How would
we use composition to simulate the weight of a random pet from the store? (Let denote the
By inverse transform, the weight of a cat all by itself is
Similarly, the weight of a dog all by itself is . These facts eliminate choices (a),
(c), and (e). In addition, (a) and (b) are some kind of mutant cat-dog, both of which sort of combine
0.6 of a cat with 0.4 of a dog; so those are wrong. What we really want is to take with
probability 0.6, and otherwise . This is choice (d)!
Question 2
pts
(Lesson 7.15: Baby Stochastic Processes.) BONUS: Consider a Markov chain in which if it
rains on day ; and otherwise, . Denote the day-to-day transition probabilities by
This study source was downloaded by 100000903674671 from CourseHero.com on 03-02-2026 04:04:15 GMT -06:00
Suppose that the probability state transition matrix is
