Let Y 1 and Y 2 be independent chi-square random variables with respective degrees of freedom 5

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Let Y₁ and Y₂ be independent chi-square random variables with respective degrees of freedom 5 and 10. Let W = Y₁ + Y₂. (a) Find the moment generating function for W and identify the distribution. (b) Evaluate P(W < 6.25214).

Ans. (a) m_W (t) = (1 2t) ^15/2 , W has a chi-square distribution with 15 degrees of freedom. (b) 0.025

Posted Date: Jun 16, 2024 03:58 AM

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Let Y 1 and Y 2 be independent chi-square random variables with respective degrees of freedom 5

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