In wildlife management, the capture-mark-recapture technique is used to estimate the populations of fish or birds in an area or to measure the infestation of insects such as Japanese beetles. Suppose 100 individuals of the species being studied are caught, marked, and released, and one week later 100 more are caught. To estimate the total number of individuals, the following relationship is used:

(a) If in the second capture of 100, it is found that 3 are marked, what is the total population?
(b) Suppose that 1000 beetles are captured, marked, and released. Suppose further that in the second capture of 1000, it is found that 63 are marked. What is the population estimate?

Transcribed Image Text:

Total marked found in 2nd capture Total in 2nd capture Total number marked Total population