b)Let Z₁=X-XN (0,1), and W₁dxYHY~N(0,1), for i = 1,2,3,...,10, then:dyi) State, with parameter(s), the probability distribution of the statistic, T = -541²ii) Find the mean and variance of the statistic T = Σ},wp?Σ1,2,3iii) Calculate the probability that a statistic T = Z₁ + W₁ is at most 4.iv) Find the value of ẞ such that P(T> B) = 0.01, where T = Σ₁Z₁² + ₁ W₁².

As per bartleby guidelines we can solve only first three subparts and rest can be reposted

Answered: i) State, with parameter(s), the…

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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i) State, with parameter(s), the probability distribution of the statistic, T = 2 54 ₁² 211 212 iii) Calculate the probability that a statistic T = Z₁ + W₁ is at most 4. ii) Find the mean and variance of the statistic T =