I think it may have a gamma distribution of some sort. We've learned the method of distribution functions. So maybe if I let V=5Y, and then found the distribution of V/5 that would work? But it seems like that's just going to make me end up at the exponential distribution again, since V/5 =...
Let's say you have a random sample of 5 values that are drawn from an exponential distribution with a mean of 8.
How do I find the distribution of Ybar, which is the sample mean of the 5 random variables? [Note: Ybar = 1/5(Y₁+Y₂+Y₃+Y₄+Y₅)]
I know that for an exponential distribution with...