Week 10 Homework_ Simulation - ISYE-6644-OAN_O01.

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Week 10 Homework Due Mar 29 at 11:59pm Points 9 Questions 10 Available after Mar 13 at 8am Time Limit None Aħempt History Attempt Time Score LATEST Attempt 1 22,313 minutes 5 out of 9 Score for... this quiz: 5 out of 9 Submitted Mar 29 at 11:59pm This attempt took 22,313 minutes. Question 1 0 / 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 standard normal c.d.f., and let 's denote PRN's.) a. b. c. If , then ; otherwise, ou Answered ou Answered d. If , then ; otherwise, orrect Answer orrect Answer4/15/2020 Week 10 Homework: Simulation - ISYE-6644-OAN/O01 e. If , then ; otherwise, 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 1 / 1 pts (Lesson 7.12: The Box-Muller Method.) Suppose and are i.i.d. Unif(0,1) with and . Use the "cosine" version of BoxMuller to generate a single Nor(-1,4) random variate. Don't forget to use radians instead of degrees! a. -0.326 b. 0 Correct! Correct! c. 0.326 d. 0.663 e. 1.964/15/2020 Week 10 Homework: Simulation - ISYE-6644-OAN/O01 https://gatech.instructure.com/courses/106512/quizzes/96333?module_item_id=530696 3/10 Box-Muller immediately gives the following Nor(0,1) random variate: To obtain the realization of the Nor($-$1,4), we simply apply the transform which is choice (c). [Show More]

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