ISYE 6644 HW 10 bonus
US Week 10 Homework
Due Oct 31 at 8:59pm
Points 3
Questions 3
Available Oct 24 at 5am - Nov 3 at 8:59pm
Time Limit None
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Question 1
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(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,
d. If , then ; otherwise,
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),
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