Question 476235
The assumption is that the 189 deer represent a random sample of the entire reserve so the proportion of tagged deer in the sample will represent the proportion of tagged deer in the reserve.
The proportion for sample is {{{82/189}}}
The proportion for reserve is {{{127/x}}}
where x is the estimate of deer in entire reserve
set them equal to each other
{{{82/189 = 127/x}}}
Multiply by x on both sides
{{{(82/189)*x = 127}}}
Multiply by reciprocal of left side
{{{(189/82)(82/189)*x = 127*(189/82)}}}
{{{x = (127*189)/82}}}
{{{x = 292.72}}}
Therefore, you are correct there is about 293 deer.