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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

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help me with ab please. please handwrite if possible. please don't use AI tools to answer

Let X1, X2, Xn be a random sample from the uniform distribution on the interval [0,0],
where > 0 is an unknown parameter. The probability density function is:
f(x|0) =
=
{
1
0 ≤ x ≤ 0
otherwise
(a) (4 points) Find the maximum likelihood estimator (MLE) for 0 based on the sample.
(b) (6 points) Derive a 100(1 - α) % confidence interval for 0 based on the distribution of the
maximum observation X(n) = max{X1, X2,...,-
‚ Xn}.

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