STAT230_VER-I-ZK4-versions_Final-Summer2008

STAT230_VER-I-ZK4-versions_Final-Summer2008 - AMERICAN...

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AMERICAN UNIVERSITY OF BEIRUT FINAL EXAM.: STAT 230 Summer, 2008 Name :…………………………………………. Circle Section: 1 2 7 3 5 I.D. :……………………………………………. For corrector only Grade of Written Part Grade of Multiple Choice Final Exam. Grade 1. 2 3 Number of Correct:…….x 4=………. PART ONE : MULTIPLE CHOICE(No Penalty). Circle your answer. Use E when the answer is not any of the given options. For each question answered correctly you get 4 points. Answers in decimal fraction form are rounded. If Y is b(200,0.4), give a lower bound for ) 05 . 0 4 . 0 200 ( < - Y P . A. 0.580 B. 0.520 C. 0.625 D. 0.820 E. Let X and Y be independent random variables having the same uniform distribution U(0,2). Find P( X-Y < 1/2). A. 23/32 B. 47/72 C. 79/128 D. 119/200 E. If X is N(10,25), find P(0.025 < (X-10) 2 < 0.100). A. 0.095 B. 0.075 C. 0.05 D. 0.025 E. Single digits, randomly produced by a computer, are recorded in order. Find the probability that the third 5 appears at the ninth position.
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