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midterm07 - STAT455/855 Fall 2007 Applied Stochastic...

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STAT455/855 Fall 2007 Applied Stochastic Processes Midterm Exam Instructions: (a) The exam is closed book. No books are allowed. You may use one 8 . 5 × 11 inch sheet of notes and a calculator. (b) There are 3 questions. Stat 855 students must do all of the problems. Stat 455 students must do 2 of questions 1,2 and 3, and if you answer all three of questions 1, 2 and 3, you must specify which two you want graded (the default if you do not specify is questions 1 and 2). (c) Each question is worth 15 marks for a total of 30 marks (Stat455) or 45 marks (Stat855) (d) Show all your work. Partial credit is given. (e) You have 120 minutes. Good luck!
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STAT 455/855 -- Midterm Exam, 2007 Page 2 of 2 1. (15 marks) Six players, numbered 1 to 6, play a game with a fair die as follows. Player 1 starts by rolling the die. If he rolls his number (i.e. he rolls a 1) he wins; otherwise, the die goes to the player whose number was rolled. This process is repeated until a player rolls his own number, and that player is declared the winner.
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