Question The previous two questions mentioned above are included below:  A.6.6. We mentioned in class that the Gamma(, 2) distribution when k is a positive integer is called the Chi-square distribution with k degrees of freedom. From the previous two problems, find the mean, variance, and MGF of the Chi-square distribution with k degrees of freedom.
A.6.5. In class we showed that if X ~ Gamma(α, β) then E (X) = aß and uar(X) = αβ2 by using the normalizing constant idea. Your job: use the MGF from to compute the mean and variance.
A.6.4. Let X ~ Gamma(a, 3). Show that the MGF of X is M(t) (1-St)-α.    #### Earn Coins

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