351final2007 - Make sure that this examination has 11...

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Unformatted text preview: Make sure that this examination has 11 numbered pages University of Regina Department of Mathematics & Statistics Final Examination 200730 (December 14, 2007) Statistics 351 Probability I Name: Student Number: Instructor: Michael Kozdron Time: 3 hours Read all of the following information before starting the exam. You have 3 hours to complete this exam. Please read all instructions carefully, and check your answers. Show all work neatly and in order, and clearly indicate your final answers. Answers must be justified whenever possible in order to earn full credit. Unless otherwise specified, no credit will be given for unsupported answers, even if your final answer is correct. You may use standard notation; however, any new notations or abbreviations that you introduce must be clearly defined. Calculators are permitted; however, you must still show all your work. You are also permitted to have TWO 8.5 11 pages of handwritten notes (double-sided) for your personal use. Other than these exceptions, no other aids are allowed. Note that blank space is not an indication of a questions difficulty. The order of the test ques- tions is essentially random; they are not intentionally written easiest-to-hardest. This test has 11 numbered pages with 11 questions totalling 150 points. The number of points per question is indicated. Fact : For > 0, the density of a random variable X Exp( ) is f X ( x ) = 1 exp n- x o , < x < . Fact : For p > 0, the Gamma function is given by ( p ) = Z x p- 1 e- x dx....
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351final2007 - Make sure that this examination has 11...

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