a biologist wants to calculate the number of fish in a lake. on may 1 she catches a random sample of 60 fish, tags them, and releases them. on september 1 she catches a random sample of 70 fish and finds that 3 of them are tagged. to calculate the number of fish in the lake on may 1, she assumes that 25% of these fish are no longer in the lake on september 1 (because of death and emigrations), that 40% of the fish were not in the lake may 1 (because of births and immigrations), and that the number of untagged fish and tagged fish in the september 1 sample are representative of the total population. what does the biologist calculate for the number of fish in the lake on may 1?