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mid2 - McGill University Faculty of Engineering Course...

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McGill University, Faculty of Engineering Course ECSE-305A: Probability and Random Signals I Midterm Examination #2, Fall 2005 Date and time: Friday, November 11, 2005, 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, NO crib sheet. Attempt all questions. NOTE: this exam spans 2 pages 1. Assume that the amount of beer in beer bottles of a certain make is normally distributed 20 marks with mean value 350ml. (a) If the beer maker is required to ±ll at least 95% of its bottles with 345ml or more, what is the largest allowable standard deviation for the amount of beer in a bottle. (b) Suppose we buy 10 cases of 24 beer bottles from this make, what is the probability that 2 bottles or more do not meet the above requirement. 2. Consider a recti±er circuit with input/output characteristic given by the equation 20 marks Y = 0 , when X < 0 X, when 0 X 3 1 , when

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mid2 - McGill University Faculty of Engineering Course...

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