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5. (25 points, 6-6-8-5) Let X1, X2, ..., Xn be iid with common pdf f(x; 0) 5.0 = { *exp(-5) x 0 otherwise where >
5. (25 points, 6-6-8-5) Let X1, X2, ..., Xn be iid with common pdf f(x; 0) 5.0 = { *exp(-5) x 0 otherwise where > 0. (a) Compute I (0). (b) Find the MLE for P(X > 10). (c) Construct an approximate (1 - a) 100% confidence interval for P(X > 10). (d) Given n = 10000, 198.41 and s = 105.46, find an approximate 99% confidence interval for P (X > 10)
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