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Unformatted text preview: STAT/MATH 511 SUMMER, 2010 EXAM 2 GROUND RULES: This exam contains 7 questions; each question is worth its enumerated value. The maximum number of points on this exam is 100. You may use a calculator if you wish, but SHOW ALL OF YOUR WORK AND EXPLAIN ALL OF YOUR REASONING!!! Any discussion or otherwise inappropriate communication between ex aminees will be dealt with severely. HONOR PLEDGE FOR THIS EXAM: After you have finished the exam, please read the following statement and sign your name below it. I promise that I did not discuss any aspect of this exam with any one other than the instructor, that I neither gave nor received any unauthorized assistance on this exam, and that the work presented herein is entirely my own. i 1.(30 Possible Points) The number of claims per week at an insurance com pany is a random variable Y . Suppose that Y has probability mass function p Y ( y ) = ( ce 2 y , y = 0 , 1 , 2 ,... , otherwise. (a). Find c such that p Y ( y ) is a valid probability mass function. (b). What is the probability that there are at least 2 claims in a given week? (c). Show that the moment generating function (mgf) of Y is given by m Y ( t ) = c (1 e t 2 ) 1 , for values of t < 2. Make sure you argue why t < 2....
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This note was uploaded on 06/17/2010 for the course MATH math 231 taught by Professor Hart during the Spring '10 term at Academy of Art University.
 Spring '10
 hart
 Math

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