mid1F03 - McGill University, Faculty of Engineering Course...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
McGill University, Faculty of Engineering Course ECSE-305A: Probability and Random Signals I Midterm Examination #1, Fall 2003 Date and time: Tuesday, October 7, 2003, 14:35 - 15:55 Examiner: Prof. B. Champagne Instructions: This is a closed book examination: only the faculty standard calculator is allowed. Attempt all questions. 1. In a closet, there are 10 pairs of shoes. If six shoes are selected at random, what is the 20 marks probability of obtaining: (a) no complete pair? (b) exactly one complete pair? (c) exactly two complete pair? (d) exactly three complete pairs? 2. The base (X) and height (Y) of a right triangle are chosen randomly from the intervals 20 marks [0 ,b ] and [0 ,h ], respectively. (a) Define a suitable probability space for this experiment (specify all three ingredients). (b) Find the probability that the area of the triangle so formed will be less than bh/ 4. 3. Making use of the probability axioms and adequate Venn diagrams (if necessary), prove 20 marks
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/06/2009 for the course MIME 310 taught by Professor Bilido during the Summer '08 term at McGill.

Ask a homework question - tutors are online