Probability and Statistics for Engineering and the Sciences (with CD-ROM and InfoTrac )

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Unformatted text preview: Stat 220 Final Exam December 16, 2004 Schafer NAME: ANDREW ID: Read This First: You have three hours to work on the exam. The other questions require you to work out answers to the questions; be sure to show your work clearly . No credit will be given for illegible work, even if the answers are correct. The number of points each part is worth is indicated in parentheses after the question. Work all answers out to two decimal places, when appropriate. If a problem is asking for a probability, provide the answer to two decimal places. Do not leave answers in choose notation, work them out to the end. No sharing of calculators or note sheets during the exam. PART ONE Part Possible Score Base 5 5 MC 12 1 6 2 12 3 10 4 5 Total 50 PART TWO Part Possible Score Base 11 11 Page 6 13 Page 7 9 Page 8 3 Page 9 5 Page 10 12 Page 11 16 Page 12 6 Page 13 14* Page 14 7 Page 15 7 Total 100 *Three of these points are extra credit. 1 PART ONE Multiple Choice Questions: For each question, circle the one correct letter. Each question is worth 3 points. 1. Suppose A and B are such that P ( A ) = P ( B ) = 0 . 30. What is the largest P ( A or B ) could be? (a) 0.00 (b) 0.30 (c) 0.60 (d) 1.00 2. Random variable X has the binomial( n = 5 , p = 0 . 2) distribution. The probability that X equals one is closest to... (a) 0.20 (b) 0.40 (c) 0.60 (d) 0.80 (e) Cannot determine with the given information. C E O S alary (in thousands of dollars) density 200 400 600 800 1000 1200 0.0000 0.0005 0.0010 0.0015 0.0020 0.0025 Figure 1: Histogram showing the distribution of salaries in 1993 for CEOs of 59 top small businesses. (Source: Forbes Magazine ) 3. Figure 1 depicts the distribution of the salary of the CEOs of 59 leading small businesses in 1993. The median salary in this group of 59 salaries is closest to... (a) $50,000 (b) $100,000 (c) $300,000 (d) $600,000 2 4. Again, refer to Figure 1. The sample mean is larger than the sample median for this set of data. This should not be surprising since... (a) the histogram is positively skewed. (b) the sample size is fairly large. (c) the range of the data is large. (d) CEOs are usually paid more than the other employees in their company. 1. A particular system on the space shuttle consists of two components, named A and B . The probability that component A fails during launch is 0.001, and the probability that component B fails during launch is 0.01. The probability that both fail during launch is 0.0005. Both components need to function correctly for the system to work. What is the probability the system works? (6) 2. The length of the life (measured in days) of a certain brand of light bulb is modeled well by the exponential( = 0 . 01) distribution....
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practice-final - Stat 220 Final Exam December 16, 2004...

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