Question

two samples were taken of fish caught on small lake and are shown in the table below. it is estimated that the small lake fish population is roughly 1,000 fish. what is the average number of brown trout in the lake?\
\
small lake fish sample\
sample 1\\t\\t\\t\\t\\t\\t\\t\\t\tsample 2\
rainbow trout\\t15\trainbow trout\\t11\
brown trout\\t3\tbrown trout\\t1\
largemouth bass\\t9\tlargemouth bass\\t11\
\
\\u25cb 43\
\\u25cb 80\
\\u25cb 160\
\\u25cb 333

Explanation:

Step1: Calculate total fish in samples

Total sample fish = $(15+3+9)+(11+1+11) = 27 + 23 = 50$

Step2: Calculate total brown trout in samples

Total brown trout = $3 + 1 = 4$

Step3: Find proportion of brown trout

Proportion = $\frac{\text{Total brown trout}}{\text{Total sample fish}} = \frac{4}{50} = 0.08$

Step4: Estimate lake brown trout count

Estimated count = $\text{Total lake population} \times \text{Proportion} = 1000 \times 0.08$

Answer:

80