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3044hw5s09

3044hw5s09 - handout should include printouts from the...

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1 ISyE 3044 – Spring 2009 Homework #5 — Due Monday, 6 April 1. Consider the following 20 pseudo-random numbers (read from left to right): 0.82 0.40 0.86 0.53 0.55 0.45 0.38 0.58 0.40 0.39 0.59 0.60 0.05 0.46 0.88 0.50 0.41 0.66 0.01 0.56 (a) Use the first two numbers to generate two observations from the normal distribution with mean 0 and standard deviation 2. (b) Use as many numbers as you need (starting from the first one and going from left to right and then down) to generate an observation from the Poisson distribution with λ = 5. (c) Apply the inverse-transform method to derive a formula for generating realizations from the distribution with density function f ( x ) = 2(1 x ), 0 x 1. 2. The attached file “3044hw5s09.dat” contains repair repair times for some computing equipment (in minutes). Use ExpertFit c circlecopyrt to find a distribution that fits the data. Your
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Unformatted text preview: handout should include printouts from the graphical and formal goodness-of-Ft tests, as well as 1-2 brief paragraphs explaining your Fndings. 3. The following Fve observations are observed repair times for an airplane engine: 3.6, 23.3, 31.5, 17.9, 4.0 (a) Assume that the data come from the gamma distribution. Use the method of mo-ments to estimate the shape and scale parameters. (b) Use the Kolmogorov-Smirnov test with type I error 0.10 to assess the hypothesis “the data come from the Weibull distribution with shape parameter equal to 2 and scale parameter equal to 0.2”. 4. Exercise 6.2 from the text GSWA. 5. Exercise 6.3 from the text GSWA. 6. [Will not be graded] Exercises 1, 2, 6, 8, 11, 15, 22, and 23 from Chapter 8 of BCN&N....
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