2010 summer midterm

2010 summer midterm - University of Ottawa Department of...

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Unformatted text preview: University of Ottawa Department of Mathematics and Statistics MAT 2377 3X: Probability and Statistics for Engineers Instructor: Aziz Khanchi Midterm Exam -Blue- Version 1- Solutions June 2010 Surname First Name Student # Instructions: You have 1 hour and 45 minutes to complete this exam. Record your answers in the table below. Only TI 30 calculators or equivalent models are permitted. Do not detach the staple. Write your student number at the top of each page in the space provided. There are 12 multiple choice questions. GOOD LUCK! Question Answer 1 2 3 4 5 6 7 8 9 10 11 12 Student # MAT 2377 3X Midterm Exam -Blue- Version 1- Solutions Question 1. How many different 8 letter codes can be constructed using 2 as, 4 bs and 2 cs? A) 420 B) 40320 C) 16 D) 70 E) 840 Solution: 8! 2! 4! 2! = 420 . Question 2. In how many ways can 4 of 10 printers be chosen for a special company if a) order matters? b) order does not matter? A) a) 420, b) 5040 B) a) 210, b) 5040 C) a) 5040, b) 210 D) a) 5040, b) 200 E) a) 200, b) 10 Solution: a) Order matters, so it is a permutation: P 10 4 = 10! (10- 4)! = 10! 6! = 5040 . b) This one is combination, C 10 4 = 10! 4!(10- 4)! = 10! 4!6! = 210 . Question 3. A company that produces video cameras manufactures a basic model and a deluxe model. Over the past year, 40% of the cameras sold have been of the basic model. Of those buying the basic model, 30% purchase an extended warranty, whereas 50% of all deluxe purchasers do so. If you learn that a randomly selected purchaser has an extended warranty, how likely is it that he or she has a basic model?...
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This note was uploaded on 12/06/2011 for the course MAT 2377 taught by Professor Azizk during the Spring '10 term at University of Ottawa.

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2010 summer midterm - University of Ottawa Department of...

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