Hey guys-been struggling with this question the whole day-
Weekly downtime X (in hrs) for a certain industrial machine has approximately a gamma dist. with alpha=3.5 and beta=1.5. Loss L (in dollars) as a result of this downtime is given by .
What is the expected value and variance of L?
So, I first set out to find an equation for and I ended up with and I am unsure how to proceed from here. Also, is my derivation correct?