b)X-XN (0,1), and W₁σχYHYN(0,1), for i=1,2,3,...,10, then:Let Z₁ =i) State, with parameter(s), the probability distribution of the statistic, T =ay10ΣW2√Σt,w₁²ii) Find the mean and variance of the statistic T =10Σ{12/2iii) 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 = E₁Z²+₁ W².

Given Zi~N(0,1) and Wi~N(0,1) Result: t~F(a,b) Then Mean=E(t)=b/(b-2) V(t)=2b2 (a+b-2)/[a(b-2)2…

Answered: b) Let Z₁ = X-x~N (0,1), and Wi σχ…

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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d) The random variable X has a Poisson distribution such that P(X= 0) = P(X = 1). Calculate P(X = 2).
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Let Z₁ = X₁-μx ~N(0,1), and Wi σχ = Yi-HY~N(0,1), for i = 1,2,3,...,10, then: oy i) State, with parameter(s), the probability distribution of the statistic, T = ii) Find the mean and variance of the statistic T = Σt, wi? Σ, Z² Σt=1Zi 4i=1 iii) Calculate the probability that a statistic T = Z₁ + W₁ is at most 4. iv) Find the value of such that P(T > B) = 0.01, where T = Σ₁₁Z₁² + 10₁ W₁². ẞ Σ{1Z2 Σi,

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