Probability and Estimation

I

istar

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May 11, 2020
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In a park , 200 foxes are tagged. In 100 sighting, 14 were tagged. Estimate the size of the fox population ?

This is how approached .

200 tagged : Population 14 tagged : 100
(200x100/14)= Estimated Population = 1,429

I wonder if this is right !
 
Let's check it!

If you are right, then the proportion tagged is 200/1429 = 14%.

The proportion tagged among the 100 sighted is 14/100 = 14%.

So it looks like you are right.

(Your method is good, too. I would write it as, 200/P = 14/100, and solve as you did.)
 
Let the units be you friend!

You want to convert 200 tagged into a number of foxes. You are given that when you caught 100 foxes (or whatever you did) that 14 were tagged.

I like to think that in this problem [math]\dfrac {100 foxes}{14 tagged} =\dfrac{14 tagged}{100 foxes} = 1[/math]
[math]200 tagged = 200 tagged[B] [/B]* \dfrac{100 foxes}{14 tagged} = \dfrac{200*100}{14} foxes = 1429 foxes[/math] Do you see that the units tagged cancels out?
 
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