Consider a random sample of size one (n = 1) from the population of X with probability density function [2(0-¹), if 0

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Consider a random sample of size one (n = 1) from the population of X with probability
density function
[2(0-¹), if 0<x<0
f(x; 0) =
10,
otherwise.
(a) Verify if U = is a pivotal function or not. Explain your conclusion with argument,
and any necessary derivations.
(b) Using an appropriate pivotal function, find a 95% lower confidence limit for 9.
Denote it by AL-
Transcribed Image Text:Consider a random sample of size one (n = 1) from the population of X with probability density function [2(0-¹), if 0<x<0 f(x; 0) = 10, otherwise. (a) Verify if U = is a pivotal function or not. Explain your conclusion with argument, and any necessary derivations. (b) Using an appropriate pivotal function, find a 95% lower confidence limit for 9. Denote it by AL-
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