Question: The chi-squared random variable with k degrees of freedom has moment-generating function MX (t)=(12t) k / 2. Suppose that X1 and X2 are independent chi-squared

The chi-squared random variable with k degrees of freedom has moment-generating function MX (t)=(1−2t)− k / 2. Suppose that X1 and X2 are independent chi-squared random variables with k1 and k2 degrees of freedom, respectively. What is the distribution of Y = X1 + X2?

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