Let \( X_1, \ldots, X_n \) be a random sample from a distribution with one of two pdfs. If \( \theta = 1 \), then \( f(x; \theta = 1) = I(0 < x < 1) \). If \( \theta = 2 \), then \( f(x; \theta = 2) = 2xI(0 < x < 1) \).(a) Give a general form of the MLE of \( \theta \).(b) You are given a sample data of 3 values: 0.4, 0.5, 0.8. Find the MLE estimate of \( \theta \) based on the data.

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Answered: Let X₁,..., Xn be a random sample from…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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