anonymous
  • anonymous
The following table shows the data of a random sample of fish collected from and later released into a lake: How many bass are estimated to be present if a random sample of 1,500 fish is collected from the lake? Type of Fish Bass Catfish Warmouth Number of fish 60 70 20
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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DanJS
  • DanJS
(sample size) * (# bass) / (Total Fish)
DanJS
  • DanJS
Take the fraction that are bass, and multiply that by your sample size
anonymous
  • anonymous
60/1500?

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DanJS
  • DanJS
Ok, in the sample, there are 60 bass and (60+70+20) = 150 total fish
DanJS
  • DanJS
the fraction that are bass is 60/150
DanJS
  • DanJS
or 2/5 or 40%
anonymous
  • anonymous
then add the total after?
DanJS
  • DanJS
If 1500 Fish are sampled, you would expect 40% to be bass
DanJS
  • DanJS
1500*0.4 = 600 estimated bass
DanJS
  • DanJS
This is what we did \[\frac{ 60 }{ 60+70+20 } = \frac{ x }{ 1500 }\]
DanJS
  • DanJS
Just scaled up the sample size to 1500 from 150 with the same expectations on percent of bass
anonymous
  • anonymous
@DanJS how would I come to the total
anonymous
  • anonymous
600 would be the answer

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