05b Lesson 5 SP

# 05b Lesson 5 SP - What if the sample size goes to ∞ 5 Fit...

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MA206 Suggested Problems Cumulative Distribution Functions 1. Answer the following questions based on the CDF below: a. What does the probability density function (PDF) for the following cumulative distribution function (CDF) look like and why? Sketch the PDF on the CDF above. b. Approximately 50% of the observations will be less than what x- value? c. Approximately 75% of the observations will be less than what x- value? 2. What can you say about the probability mass over the domain of the PDF (what is it equal to and why)? 3. What is the range for all CDFs? Why? CDF 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 10 20 30 40 50 60 70 80 90 cdf

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4. What happens to the EDF as we take more observations from a population?
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Unformatted text preview: What if the sample size goes to ∞? 5. Fit either an Exponential Distribution F(x) or a Weibull Distribution G(x) to the following data. The data set is available as a link on the syllabus ( Data5 ). 6.52 8.99 7.78 23.05 6.58 2.33 48.67 6.71 3.18 1.14 0.21 22.84 2.17 14.80 34.89 4.64 7.25 14.42 41.01 37.94 2.20 13.80 5.52 30.14 4.02 11.49 6.75 1.69 31.08 13.62 31.42 1.40 14.11 10.73 9.46 1.92 25.81 22.69 0.79 12.53 38.49 5.26 22.61 0.18 31.31 28.25 14.26 3.74 8.59 6.59 Which distribution did you pick? Why? What is (are) the parameter value(s) for this distribution?...
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