A researcher wants to estimate the propor- tion of perch in a lake's fish population. He/she fishes on days until the first perch is caught: on the th day, he/she catches fish none perch, and the + 1 fish is a perch, where 0 (all fish are released back into the lake). i) Estimate the proportion of perch in the fish population. ii) Extend the problem to the case when the researcher stops fishing after two perch are caught.