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Unformatted text preview: 36225 INTRODUCTION TO PROBABILITY & STATISTICS I – Midterm IIPractice ExamNOTE: The actual exam will also have some multiple choice questionsYou mustshow your workin order to get full or be considered for partial credit.You may use a single sheet of notes (8.5 by 11 inches) and a calculator. You may not share acalculator, pencil, paper or anything else during the exam.Your ANDREW ID:Your First Name:Your Last Name:Your Signature:For Grader use:ProblemTotalCorrect123456789Total200*** Do not turn this page until instructed to do so.***1Please check that you have pages 2 through 11 + 3 tables.1. Let the random variableXhave the following density function:fX(x) =k·√x≤x≤1otherwise(a) Find the value ofkthat will make this a legitimate density function.(b) ObtainFX(x), the cdf ofX.(c) FindE(X)(d) FindP(X > .25X < .75)22. Assume thatX, the time it takes ’student A’ to complete a homework assignment is an exponentialrandom variable with parameterβ= 2hours....
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This note was uploaded on 05/16/2011 for the course STATISTICS 225 taught by Professor Finegold during the Spring '11 term at Carnegie Mellon.
 Spring '11
 finegold
 Statistics, Probability

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