Question: (40 points) Let X1, X2, ..., Xbe independent, identically distributed random variables with p.d.f. f(x) = 0x0-1,0 x 1. a. Find the maximum likelihood

(40 points) Let X1, X2, ..., Xbe independent, identically distributed random variables

(40 points) Let X1, X2, ..., Xbe independent, identically distributed random variables with p.d.f. f(x) = 0x0-1,0 x 1. a. Find the maximum likelihood estimator, , for 0. b. Find 1(e). c. Find a large sample 95% confidence interval for using the asymptotic distribution of . d. The data set in the dropbox contains 50 observations from this distribution. Using this data set, what is the estimate and the 95% confidence interval for 0?

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