Answered: Earlier this year, 240 caribou were…

Name: Earlier this year, 240 caribou were caught and tagged. In a recent sur
Uploaded: 2024-03-20T06:38:58.000Z
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Description: Earlier this year, 240 caribou were caught and tagged. In a recent survey, 60 out of 350 caribou that were caught had been tagged. What is the approximate size of the caribou population? Show all work, use proper notation and provide a therefore stat

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

ChapterP: Prerequisites

Section: Chapter Questions

Problem 49E

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Earlier this year, 240 caribou were caught and tagged. In a recent survey, 60 out of 350 caribou that were caught had been tagged. What is the approximate size of the caribou population? Show all work, use proper notation and provide a therefore statement.

Expert Solution

Step 1

Given
The total number of caribou tagged (population) $= 240$
The number of caribou caught this year (sample) $= 350$
The number of tagged among caribou caught this year (sample) $= 60$

Let the total number of caribou population size be X .

The proportion of caribou caught in sample be p $= \frac{60}{350}$

The proportion of caribou caught in population be $\hat{p} = \frac{240}{X}$

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