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Please solve Let Y be a random variable with a gamma density. A random sample of Y is given in the following table. 14.17 14.50

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Let Y be a random variable with a gamma density. A random sample of Y is given in the following table. 14.17 14.50 43.52 32.51 8.20 37.40 31.87 33.17 132.20 12.40 25.02 101.91 140.60 56.46 11.21 20.24 55.64 201.52 42.47 117.30 133.12 298.74 66.27 81.62 19.98 92.45 7.40 133.82 69.62 153.83 84.84 29.77 74.57 8.75 38.70 86.40 21.41 14.47 56.43 31.38 (1) Calculate the method-of-moments estimates of the expected value and standard deviation of Y. (2) Calculate the maximum likelihood estimates of the expected value and standard deviation of Y

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