Suppose you initially catch 500 drones, tag them, and release them. At some point later you re-catch a new 500 drones, and find that only 300 of them are tagged. Assume drones were equally likely to be caught at all times. 1) What is the smallest number of drones that might be out there? i.e., what is the smallest possible number value N might have? 2) What was the probability of this occurring (these specific catch totals) as a function of N? 3) What number N maximizes the likelihood of these results?

Suppose you initially catch 500 drones, tag them, and release them. At some point later you re-catch a new 500 drones, and find that only 300 of them are tagged. Assume drones were equally likely to be caught at all times. 1) What is the smallest number of drones that might be out there? i.e., what is the smallest possible number value N might have? 2) What was the probability of this occurring (these specific catch totals) as a function of N? 3) What number N maximizes the likelihood of these results?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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