SOC 885 Study Guide - Final Guide: Random Variable, Gamma Distribution

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A random variable y has a gamma distribution with = 3. 5 and = 4. 2. 6. 46 and the percentage points for the 2 distributions given in table 6, appendix 3, to find p(y > Suppose that y has a gamma distribution with = n/2 for some positive integer n and equal to some specified value. Use the method of moment-generating functions to show that w = 2y/ has a. 2 distribution with n degrees of freedom. From the information, observe that a random variable y has a gamma distribution with and. Suppose y has gamma distribution with for some positive integer n and equal to some specified value. Consider y is the random variable that follows the gamma distribution. It is known that w can be written as follows: Clearly, it is observe that y follows chi-square distribution with 7 degrees of freedom.