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316_F07_Midterm2_Sol - IOE 316 Introduction to Markov...

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IOE 316 Introduction to Markov Processes Fall 2007 Midterm Exam 2 Tuesday, December 11, 2007 10:40 am - 12:00 pm NAME SOLUTION UMID Engineering Honor Code (Make sure to sign it before turning in the exam): I have not received nor given any unauthorized aid on this examination, nor have I concealed any violations to the honor code. Signed 1
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EXAM POLICIES: 1. The instructor/GSI’s reserve the right to collect an exam from the student should s/he suspected any action that may constitute a possible violation to the engineering honor code. This includes, but not limited to: Talking to anyone other than the proctor of the exam Leaning towards another student Sharing a calculator with another student Having more than allowable notes for the exam. You are allowed one double-sided 8 × 11 . 5 page of notes, with formulas and definitions only. Making unnecessary noise or gesture towards other students during the exam 2. The instructor/GSI’s reserve the right NOT to answer any question that may give the student an unfair advantage (e.g. assurance of answers, methods, etc.) The instruc- tor/GSI’s, however, will answer any question regarding the clarity of the problem such as wording and printing errors. 3. Make sure to show all your work and clearly indicate the final answer. You might not get full credit if you have not showed your work even if the final answer is correct. 4. You are required to read and sign the engineering honor code. The instructor/GSI’s will NOT grade any exam which does not have a signed honor code. Question Number Points Earned Maximum Points 1 20 2 15 3 10 4 20 5 25 6 10 Total: 100 2
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1. (20 points) For each statement below circle the correct answer. You do NOT have to explain your answer. (a) (4 points) Let { N ( t ) , t 0 } be a Poisson Process. Then for a given x > 0, P ( N (5 x ) - N (2 x ) = n | N (2 x ) = 2) = P ( N (5 x ) - N (2 x ) = n ). i. This statement is True ii. This statement is False (b) (4 points) An average of 500 people pass the California bar exam each year. A California lawyer practices law, on average, for 30 years. Assuming these numbers remain steady, how many lawyers would you expect California to have in 2050?
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