If X is a gamma(2,lambda) distribution lambda(^2)xe^(-lambda x) x >0 fX(x)= 0 otherwise How do i obtain the mean and variance of X? thanks.
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Originally Posted by math_lete If X is a gamma(2,lambda) distribution lambda(^2)xe^(-lambda x) x >0 fX(x)= 0 otherwise How do i obtain the mean and variance of X? thanks. for x > 0 and zero elsewhere. . . . The integrals can be evaluated by repeated application of integration by parts.
Originally Posted by mr fantastic for x > 0 and zero elsewhere. . . . The integrals can be evaluated by repeated application of integration by parts. Or by doing it in a way where integration by parts is not required I'll quickly do . A similar thing can be done with . Let . Thus, The integral transforms into . But note that . So we have . Since , we now see that --Chris
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