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Please provide clear, detailed, and neat solutions step by step for the entire problem (a-d)? Thanks! 10. Let X1,...; X'n be a random sample of

Please provide clear, detailed, and neat solutions step by step for the entire problem (a-d)? Thanks!
10. Let X1,...; X'n be a random sample of size n from a geometric distribution that has pmf (20) = (1-0)2-10, 8=1,2 .. .. (a) Find the MLE or of & and the Fisher information of the data. (b) Use asymptotic normality of the MLE to approximate the distribution of 8, (c) Find the Wald-type confidence interval for 9. (d) Show that EX; is a sufficient statistic for of and find the MVUE for 9

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