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Let Y 1 and Y 2 be independent chi-square random variables with respective degrees of freedom 5 and 10. Let W = Y 1 +
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) mW (t) = (1 2t) 15/2 , W has a chi-square distribution with 15 degrees of freedom. (b) 0.025
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