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Unformatted text preview: ISE 220 PROBABILITY CONCEPTS IN ENGINEERING Solutions to Homework Problem Set # 1 Instructor: Dr. Ashok Patel Fall 2010 Problem 1 a) B C c b) A D E c c) A B c C D c d) A c C e) C D f) (B C) (A c C c ) Problem 2 a) {5, 7} b) {6, 8} c) C = {0, 1, 2, 4, 6, 8, 10} d) {5, 7} e) {0, 2, 4, 5, 6, 7, 8, 10} f) {3,5,6,7,8,9} g) h) {3, 9} Problem 3 &ote : Both Train and Bus arrives at the same time the bus and the train meet but Both Train and Bus arrives at the same time the bus and the train meet Problem 4 (a) S 1 = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}. (b) S 2 = {0, 1, 2, 3} and following are the all possible 16 subsets of S 2 : , S 2 , {0}, {1}, {2}, {3}, {0,1}, {0,2}, {0,3}, {1,2}, {1,3}, {2,3}, {0,1,2}, {0,1,3}, {0,2,3}, {0,3,1}. Q : When does a subset of a sample space represent some event? Ans : Suppose that a subset A describes (or represents) some event E. Then this event E must occur whenever any outcome from the set A occurs, and vice versa. vice versa....
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This note was uploaded on 10/25/2010 for the course ISE 220 taught by Professor Ross during the Fall '05 term at USC.
 Fall '05
 Ross

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