2. Let \( Y_1, \ldots, Y_{n-1} \overset{\text{iid}}{\sim} \chi^2_1 \) and consider \( U = \sum_{i=1}^{n-1} Y_i \).(a) Show that \( U \sim \chi^2_{n-1} \).(b) What is the expectation of \( U \)?(c) If \( \sigma^2 \) is a constant, what is the expectation of \( \frac{\sigma^2}{n-1} U \)?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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iid 2. Let Y1,..., Yn-1 xỉ and consider U = E Y;. n-1 i=1 (a) Show that U~ (b) What is the expectation of U? (c) If o? is a constant, what is the expectation of U? n-1