From a continuous uniform distribution, X ~ Unif[a, b], we are given the following set of data: 5, 6, 8, 8, 9, 7, 2, 4, 6, 5. (a) Using the method of moments, find an estimate for a and b. (b) Give the likelihood function L(a, b; X) then find an MLE for both a and b. (c) Using the t-distribution, find a 95% confidence interval for E[X].

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