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Suppose that X₁, X2, X3,...,Xn is a random sample of n from population X which has a chi- square distribution with one degrees of freedom. (i) Find lim Mg(t). n-00 (ii) Use the Central Limit Theorem to compute P(0.5 < X < 1.5), for n = 30. (iii) Use the Chebychev inequality to find the value of k for P(0.5 < X < 1.5), if n = 30.

Suppose that X₁, X2, X3,...,Xn is a random sample of n from population X which has a chi- square distribution with one degrees of freedom. (i) Find lim Mg(t). n-00 (ii) Use the Central Limit Theorem to compute P(0.5 < X < 1.5), for n = 30. (iii) Use the Chebychev inequality to find the value of k for P(0.5 < X < 1.5), if n = 30.

MATLAB: An Introduction with Applications
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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a) Suppose that X₁, X2, X3,...,Xn is a random sample of n from population X which has a chi- square distribution with one degrees of freedom. (i) Find lim Mg(t). n-00 (ii) Use the Central Limit Theorem to compute P(0.5 < X < 1.5), for n = 30. (iii) Use the Chebychev inequality to find the value of k for P(0.5 < X < 1.5), if n = 30.
Transcribed Image Text:a) Suppose that X₁, X2, X3,...,Xn is a random sample of n from population X which has a chi- square distribution with one degrees of freedom. (i) Find lim Mg(t). n-00 (ii) Use the Central Limit Theorem to compute P(0.5 < X < 1.5), for n = 30. (iii) Use the Chebychev inequality to find the value of k for P(0.5 < X < 1.5), if n = 30.
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