A lake contains an unknown number of fish, denoted by N. You capture 100 fish, mark
Chapter 12, Problem 51(choose chapter or problem)
A lake contains an unknown number of fish, denoted by N. You capture 100 fish, mark them, and subsequently release them. Later, you return and catch 10 fish, 3 of which are marked. (a) Find the probability that exactly 3 out of 10 fish you just caught will be marked. This probability will be a function of N, the unknown number of fish in the lake. (b) Find the value of N that maximizes the probability you computed in (a), and show that this value agrees with the value we computed in Example 13.
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