Hi, I'm so struggling with this quetsion, can anyone please kindly help me? Thanks a lot.
and suppose the random variable X has density f.
(a)Determine the distribution function of X
(b)Calculate the nth moment for all n=1,... Express it in terms of the Gamma function.
I did try to integrate PDF to get distribution function, but I end up a constant , it must be wrong. Also, I have no idea about the second one. Can anyone please help me? Thanks a lot.