This can be solved by the generalized multiplication

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Unformatted text preview: the length of time the fiber is exposed to the spray. If you would like to compare the effects of 3 charge levels, 5 number density levels, 4 temperature levels, and 3 exposure times, how many experiments would you have to do? This can be solved by the generalized multiplication theorem. 3 x 5 x 4 x 3 = 180 4. (10 points) Engineering students at Illinois are classified by whether they are freshmen, sophomores, juniors, or seniors, and also by 12 departments within the College. (a) What is the total number of possible classifications? 4 classes x 12 departments = 48 (b) If one of these groups is selected at random, what is the probability that Sophomores in Civil & Environmental Engineering will be chosen? P = 1/48 = 0.021 1/4 CEE 202 – Engineering Risk & Uncertainty Homework 1 Spring 2011 (Bond) Sample space, enumeration, probability 5. (10 points) If you cast three dice, what is the probability of getting at least one two? Sample space: results of 3 die rolls N = 6 x 6 x 6 = 216 Event: At least one two. You can get one, two or three “2” One “2”: Aone2 = (2 ­ ­,  ­2 ­,  ­ ­2} 3 possibilities The remaining two blanks can be filled in any of 25 ways, because the remaining dice can be anything but “2”, so each has 5 possibil...
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This document was uploaded on 03/06/2014 for the course CEE 202 at University of Illinois, Urbana Champaign.

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