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Unformatted text preview: McGill University, Faculty of Engineering Course ECSE-305A: Probability and Random Signals I Midterm Examination #1, Fall 2004 Date and time: Wednesday, October 6, 2004, 10:35 - 11:25 Examiner: Prof. B. Champagne and Y. Psaromiligkos Instructions: This is a closed book examination: only the faculty standard calculator is allowed. Attempt all questions. NOTE: this exam spans 2 pages 1. Roads A, B, and C are the only escape routes from a state prison. Prison records show 20 marks that, of the prisoners who tried to escape, 30% used road A, 50% used road B, and 20% used road C. These records also show that 80% of those who try to escape via A, 75% of those who try to escape via B, and 92% of those who try to escape via C were captured. (a) What is the probability that a prisoner will succeed in escaping? (b) What is the probability that a prisoner who succeeded in escaping used road C? (c) Two prisoners, say X and Y, try to escape. Prisoner Y does not trust X so he uses a different road than X. What is the probability that X will succeed in escaping if Ya different road than X....
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