The estimated number of trout in the lake can be calculated by finding the proportion of trout in the sample and applying it to the total number of fish in the lake.
Proportion of trout in the sample = 140 / (120 + 230 + 140) = 140 / 490 = 0.2857
Estimated number of trout in the lake = 0.2857 * 5,000 = 1428.5
This means approximately 1,430 trout are estimated to be present in the lake.
So, the closest option is 1,400.
The following table shows the data of a random sample of fish collected from and later released into a lake:
Type of Fish Piranha Catfish Trout
Number of fish 120 230 140
How many trout are estimated to be present if a random sample of 5,000 fish is collected from the lake?
280
380
1,400
2,500
1 answer
1 answer