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4. 1000 nodes are randomly sampled from a very large computer network and their degree (number of connections to other nodes) is recorded. A histogram

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4. 1000 nodes are randomly sampled from a very large computer network and their \"degree\" (number of connections to other nodes) is recorded. A histogram of this data and other output from JMP are shown as below. a) Describe the shape of the distribution of degree for this network. b) Compute the coefcient of variation for the sample. c) Suppose it is known that the degrees have a distribution with parameter [3 = 3(,u %). An obvious estimator for [3 is = 307 ). Is this estimator unbiased for 13? What is its standard error? Explain. Distribution of Degrees [BilM... Coo - o . 0.02 0.01 Density 0.0l D 50 100 200 300 400 500 500 HID BUD 900 11300 1100 1200 1300 Summary Statistics N 1000 Minimum 1 Mean 63.265 Maximum 1294 Variance 33012905 Median 31 Skenness 4.6205011 Kunosis 39.42393

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