3. If \( X \) is \(\chi^2(23)\), find the following: a) \( P(14.85 < X < 32.01) \)b) Constants \( a \) and \( b \) such that \( P(a < X < b) = 0.95 \) and \( P(X < a) = 0.025 \)c) The mean and variance of \( X \)d) \( \chi^2_{0.05}(23) \) and \( \chi^2_{0.95}(23) \)

i.e. X follows chi-squared distribution with 23 degrees of freedom.

Answered: 3. If X is x² (23), find the following:…

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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3. If X is x² (23), find the following: a) P(14.85 < X < 32.01) b) constants a and b such that P(a < X < b) = 0.95 and P(X < a) = 0.025 c) the mean and variance of X d) x6.05 (23) and X²5 (23)