Watching all these drones buzz back and forth is giving you eyestrain. But you can’t just count every single drone -how could you ever know that you had caught them all?You instead take the following approach: you build a taser-net that you can use to stun and catch drones (muchmore fun than just watching), before tagging them and re-releasing them into the wild. Working for a week, youmanage to tag 400 drones, releasing them back into the wild. After waiting a week, you start catching drones again.Catching another 400 drones, you find that 270 of the drones you’ve caught are tagged, meaning you’d caught thembefore. 130 of your new catch

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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Watching all these drones buzz back and forth is giving you eyestrain. But you can’t just count every single drone -how could you ever know that you had caught them all?You instead take the following approach: you build a taser-net that you can use to stun and catch drones (muchmore fun than just watching), before tagging them and re-releasing them into the wild. Working for a week, youmanage to tag 400 drones, releasing them back into the wild. After waiting a week, you start catching drones again.Catching another 400 drones, you find that 270 of the drones you’ve caught are tagged, meaning you’d caught thembefore. 130 of your new catch are untagged, meaning this is the first time that you’ve caught them.Assume drones were equally likely to be caught at all times. Before catching the second batch of drones, there were400 tagged drones in the wild, the rest were untagged.

1) What number of dronesNmakes your second batch resultsas likely as possible?

2) Assuming again that the probability thatN=nis proportional to the probability of catching these secondbatch results withntotal drones in the air, find again the smallestnmaxso thatP(N≤nmax) = 0.95.

3)Which method - Problem 1 or Problem 2 - do you think gives more accurate or reliable results?Why?Be Thorough.

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