(1) Find the distribution of V=X₁ - X₂.

MATLAB: An Introduction with Applications
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X₁ and X2 are random samples from N(μ, o²).
(1) Find the distribution of V=X₁ - X₂.
(2) Using (1) determine the constant c so that cV₂ follows chi-square distribution and using this, find the 100 x (1-a)
confidence interval of o².
Transcribed Image Text:X₁ and X2 are random samples from N(μ, o²). (1) Find the distribution of V=X₁ - X₂. (2) Using (1) determine the constant c so that cV₂ follows chi-square distribution and using this, find the 100 x (1-a) confidence interval of o².
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