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Let's pretend you're the leader of a planet. In this planet, there are drones all over the place. You are starting to worry that your planet is at risk of invasion. A question you have is – how many drones are there actually? Is it just one drone seen multiple times or is it a full invasion? To answer this question, your scientific advisors capture three drones and discover that they are stamped with serial numbers in order: #123, #467, and #500. You assume that all drones are stamped with a serial number, starting with #1 and going to some number #N, where N is the total number of drones out there. a) Based on these assumptions, what is the smallest number of drones out there? b) Let's assume all drones are deployed and each is equally likely to get caught. What is the probability of catching the three specific drones in the following situations? a. If they were caught in numerical order specified above (justify in two ways)

Let's pretend you're the leader of a planet. In this planet, there are drones all over the place. You are starting to worry that your planet is at risk of invasion. A question you have is – how many drones are there actually? Is it just one drone seen multiple times or is it a full invasion? To answer this question, your scientific advisors capture three drones and discover that they are stamped with serial numbers in order: #123, #467, and #500. You assume that all drones are stamped with a serial number, starting with #1 and going to some number #N, where N is the total number of drones out there. a) Based on these assumptions, what is the smallest number of drones out there? b) Let's assume all drones are deployed and each is equally likely to get caught. What is the probability of catching the three specific drones in the following situations? a. If they were caught in numerical order specified above (justify in two ways)

A First Course in Probability (10th Edition)
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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I need help with both parts (answer them accordingly). Thanks in advance!

Let's pretend you're the leader of a planet. In this planet, there are drones all over the place. You are starting to worry that your planet is at risk of invasion. A question you have is – how many drones are there actually? Is it just one drone seen multiple times or is it a full invasion? To answer this question, your scientific advisors capture three drones and discover that they are stamped with serial numbers in order: #123, #467, and #500. You assume that all drones are stamped with a serial number, starting with #1 and going to some number #N, where N is the total number of drones out there. a) Based on these assumptions, what is the smallest number of drones out there? b) Let's assume all drones are deployed and each is equally likely to get caught. What is the probability of catching the three specific drones in the following situations? a. If they were caught in numerical order specified above (justify in two ways) b. If they were caught in any order
Transcribed Image Text:Let's pretend you're the leader of a planet. In this planet, there are drones all over the place. You are starting to worry that your planet is at risk of invasion. A question you have is – how many drones are there actually? Is it just one drone seen multiple times or is it a full invasion? To answer this question, your scientific advisors capture three drones and discover that they are stamped with serial numbers in order: #123, #467, and #500. You assume that all drones are stamped with a serial number, starting with #1 and going to some number #N, where N is the total number of drones out there. a) Based on these assumptions, what is the smallest number of drones out there? b) Let's assume all drones are deployed and each is equally likely to get caught. What is the probability of catching the three specific drones in the following situations? a. If they were caught in numerical order specified above (justify in two ways) b. If they were caught in any order
Expert Solution
Step 1

The question of interest is that whether there are several drones or just a single drone which is re-appearing. This query was unfolded when three unique drones with serial numbers stamped as #123, #467 and #500 were found.

The total number of drones assumed are N.

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