Question

of the 50 fish john caught from the lake, 14 were trout. the estimated population of the lake is 7,500. about how many trout would you expect to be in the lake?

Explanation:

Step1: Calculate the proportion of trout in the sample

The proportion \( p \) of trout in the sample is \( p=\frac{14}{50} \).

Step2: Use the proportion to estimate the number of trout in the lake

Let \( N = 7500 \) be the estimated population of the lake. The estimated number of trout \( T \) is \( T = p\times N=\frac{14}{50}\times7500 \).

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Answer:

2100 trout