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finalW02 - McGILL UNIVERSITY Faculty of Engineering FINAL...

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McGILL UNIVERSITY FINAL EXAMINATION Faculty of Engineering Winter 2002 PROBABILITY AND RANDOM SIGNALS I 304-305B Examiner: Prof. Benoˆ ıt Champagne Associate Examiner: Prof. Harry Leib Signature: Signature: Date: April 22, 2002 Time: 14:00 to 17:00 INSTRUCTIONS: This is a CLOSED BOOK examination. THREE CRIB SHEETs (double-sided) permitted REGULAR and TRANSLATION dictionaries permitted. FACULTY STANDARD CALCULATOR permitted ONLY. The examination paper consists of 5 questions. It spans 5 printed pages, includ- ing cover page. Ensure that you have a COMPLETE EXAMINATION before starting. Each question is worth 20 marks out of 100; attempt all 5 questions. Use one or more Answer Booklets for your solutions. You do not have to return this examination paper. April 22, 2002 (14:00 – 17:00) 1/5
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1. In the axiomatic approach to probability, a random experiment is modelled as a 20 marks probability space, represented in the course by a triplet ( S, F , P ). (a) Give a concise, but precise definition of each of the “ingredients” S , F and P .
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