301exam1a

301exam1a - ESE 301 Engineering Probability First Exam...

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ESE 301 Engineering Probability First Exam, February 17, 2005 Directions: Answer each question. This is an open book and open notes exam. You may use only your textbook, my PowerPoint slides, your notes, your homework assignments, and copies of the homework solutions we dis- tributed. You may also use a calculator. You are expected to do your own work and to show how each answer has been developed. The exam is worth 100 points and each question is weighted equally. Budget your time accord- ingly. 1. Use Chebyshev’s inequality to get a lower bound for the number of times a fair coin must be tossed in order for the probability to be at least 0.90 that the ratio of the observed number of heads to the total number of tosses be between 0.4 and 0.6. 2. Suppose I announce (via e–mail) a 20–page reading assignment on Mon- day that is to be finished by Thursday. You intend to read the first x 1 pages Monday, the next x 2 pages Tuesday, and the final x 3 pages Wednesday, where x 1 + x 2 + x
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This note was uploaded on 03/02/2011 for the course ESE 301 taught by Professor Keenan during the Fall '10 term at UPenn.

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301exam1a - ESE 301 Engineering Probability First Exam...

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