θα Let X1,..., X, denote a random sample from ƒ(x; 0) = 0e−0x1(0,∞)(x). (i) Find a 100% confidence-interval estimator of P(X > 1) based on the random sample. (ii) Find a pivot based only on X1:n, and use it to find a confidence interval of 0.

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Let X1,..., X, denote a random sample from ƒ(x; 0) = 0e−0x1(0,∞)(x).
(i) Find a 100% confidence-interval estimator of P(X > 1) based on the random sample.
(ii) Find a pivot based only on X1:n, and use it to find a confidence interval of 0.
Transcribed Image Text:θα Let X1,..., X, denote a random sample from ƒ(x; 0) = 0e−0x1(0,∞)(x). (i) Find a 100% confidence-interval estimator of P(X > 1) based on the random sample. (ii) Find a pivot based only on X1:n, and use it to find a confidence interval of 0.
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