11SMT3 - Midterm #3 of ECE302, Prof. Wangs section...

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Unformatted text preview: Midterm #3 of ECE302, Prof. Wangs section 6:307:30pm Thursday, April 7, 2011, MTHW 210. 1. Please make sure that it is your name printed on the exam booklet. Enter your student ID number, e-mail address, and signature in the space provided on this page, NOW! 2. This is a closed book exam. 3. You have one hour to complete it. The students are suggested not spending too much time on a single question, and working on those that you know how to solve. 4. There are 12 pages in the exam booklet. Use the back of each page for rough work. 5. Neither calculators nor help sheets are allowed. Name: Student ID: E-mail: Signature: Question 1: [15%, Work-out question] Consider a Gaussian random variable X that has mean m = 3 variance 2 = 4. 1. [5%] Express the probability P ( | X | > 15) in terms of the Q ( x ) function. Hint: By definition Q ( x ) = R x 1 2 e- s 2 2 ds . 2. [5%] Use the Chebyshev inequality to upper bound the probability P ( | X- 3 | > 12)....
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This note was uploaded on 02/12/2012 for the course ECE 302 taught by Professor Gelfand during the Spring '08 term at Purdue University-West Lafayette.

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11SMT3 - Midterm #3 of ECE302, Prof. Wangs section...

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