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Unformatted text preview: ECE 302, Midterm #2 6:307:30pm Thursday, March 5, 2009, EE 170, 1. Enter your name, student ID number, email address, and signature in the space provided on this page, NOW! 2. This is a closed book exam. 3. This exam contains only workout questions. 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. 6. You can rip off the table in the back of the exam booklet. Name: Student ID: Email: Signature: Question 1: [30%] 1. [6%] X is an exponential random variable with = 2. Find E (( X . 5) 2 ). Hint: Find out E ( X ) first. 2. [7%] X is a binomial random variable with n = 100, p = 0 . 1. Find P ( X = 0  X < 2). 3. [8%] X is a Poisson random variable with = 1. f ( x ) is a function such that f ( x ) = 3 if . 1 < x 1 . 5 2 if 1 . 5 < x 1 . 9 otherwise (1) Find E ( f ( X ) 2 ). 4. [9%] X is a geometric random variable with p = 4 / 5. Find E (2 X X ). Question 2: [18%] Let X be a Bernoulli random variable with p = 1 / 3. Let Y be a binomial random variable with...
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 Spring '08
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