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Unformatted text preview: Midterm Examination # 2 Sta 113: Probability and Statistics in Engineering Tuesday, 2008 Oct. 30, 1:15 2:30 pm This is a closed-book exam so do not refer to your notes, the text, or any other books (please put them on the floor). You may use a single sheet of notes or formulas and a calculator, but materials may not be shared. A formula sheet and four blank worksheets are attached to the exam. You must show your work to get partial credit. Even correct answers will not receive full credit without justification. Please give all numerical answers to at least two correct digits or as exact fractions reduced to lowest terms . Write your solutions as clearly as possible and make sure its easy to find your answers (circle them if necessary), since you will not receive credit for work that I cannot understand or find. Good Luck! If you find a question confusing please ask me to clarify it. Cheating on exams is a breach of trust with classmates and faculty, and will not be tolerated. After completing the exam please acknowledge the Duke Honor Code with your signature below: I have neither given nor received unauthorized aid on this exam . Signature: Print Name: ANSWER KEY 1. /15 2. /25 3. /25 4. /25 5. /15 Total: /100 Name: Sta 113 Problem 1: For each problem answer true or false and state WHY. (15pts) i The maximum likelihood estimator and the maximum a posteriori es- timator are equivalent when the posterior is symmetric and unimodal. ii An unbiased estimator is always the best estimator....
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