# mid05 - 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 #1, Fall 2005 Date and time: Friday, October 7, 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. Consider a group of 8 randomly selected students. 20 marks (a) What is the probability that none of them were born during the month of July? Assume that birth rates are approximately the same for the diﬀerent months of the year. (b) What is the probability that at least 2 of them were born during the same month (but not necessarily in the same year)? (c) What is the probability that exactly 3 of them were born during the same month while the others were born in diﬀerent months? (d) What is the probability that there are 2 months each containing the birthday of two students, and 4 months each containing the birthday of 1 student. 2.

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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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mid05 - McGill University, Faculty of Engineering Course...

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