set2 - ECSE-305, Winter 2009 Probability and Random Signals...

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ECSE-305, Winter 2009 Probability and Random Signals I Assignment #2 Posted: Tuesday, Jan. 20, 2009 Due: Tuesday, Jan. 27, 2009, NO later than 2h30pm (please use the assignment box) Student #1: Name: ID: Student #1: Name: ID: Question Marks 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Total

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1. An integrated circuit factory has three machines X , Y , and Z . Sup- pose that we test at random one integrated circuit produced by each machine. Either a circuit passes the test ( p ) or fails the test ( f ). An observation is a sequence of three test results corresponding to the cir- cuits from machine X , Y , and Z , respectively. For example ppf is the observation that the circuits from X and Y pass the test and the circuit from Z fails the test. (a) What are the elements of the sample space of this experiment? (b) What are the elements of the set: Z F = { circuit from Z fails the test } X P = { circuit from X passes the test } (c) Are Z F and X P mutually exclusive? (d) What is the probability of
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This note was uploaded on 09/30/2009 for the course ECSE 305 taught by Professor Champagne during the Spring '09 term at McGill.

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set2 - ECSE-305, Winter 2009 Probability and Random Signals...

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