HW1-soln

HW1-soln - IE 111 Fall 2007 Homework #1 Solutiions Question...

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IE 111 Fall 2007 Homework #1 Solutiions Question 1 a) A ∩ D ∩ C’ b) F c) NMI d) T e) NMI Question 2 A Lehigh student is selected at random and∩ the student’s class x (Frosh, Soph, junior, Senior, or Grad), sex y (Male, Female), and living arrangement z (dorm, frat, sorority, off-campus) are observed. Note the following Lehigh rules: - Frosh must live in dorms. - Frats are limited to under grad men, sororities to under grad women. - Grad students must live off campus. a) Describe the sample space of this experiment by listing its elements in the form (x,y,z). Answer: (F,M,D) (F,F,D) (So,M,D) (So,M,F) (So,M,O) (So,F,D) (So,F,S) (So,F,O) (J,M,D) (J,M,F) (J,M,O) (J,F,D) (J,F,S) (J,F,O) (Sr,M,D) (Sr,M,F) (Sr,M,O) (Sr,F,D) (Sr,F,S) (Sr,F,O) (G,M,O) (G,F,O) b) Use a tree diagram to describe the sample space in question 1. Answer: F O M D D S O M F D O D S O F M F D D M O F O Grad Senior Junior Soph. Frosh
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Question 3. An experiment consists of throwing a pair of dice, one maize (yellow), and the other blue. If x is the number showing on the maize die, and y is the number showing on the blue die, then an outcome can be represented as (x,y). a) List the elements of event A: the sum of the two numbers is greater than 8. b) List the elements of event B: a 3 occurs on either of the two dice. c) List the elements of event C: A number greater than 4 occurs on the blue die. d) List the elements of event A C e) List the elements of event (A B) C f) List the elements of event (A C) B g) Construct a Venn diagram showing the relationship between A, B, and C.
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HW1-soln - IE 111 Fall 2007 Homework #1 Solutiions Question...

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