How could the central limit theorem be used to gauge the

Step 1 of 5

Let \(\varepsilon>0\) be arbitrary value, so that we need to find \(P(|\hat{A}-A|<\varepsilon)\)

Where A is the area of a region of unknown size, and \(\hat{A}\) is its estimate.

The estimate \(\hat{A}\) was defined as follows:

Let \(Z_{1}, Z_{2}, \ldots, Z_{n}\) be independent identically distributed random variables such that

\(Z_{i}=\left\{\begin{array}{ll} 1, & (X, Y) \in R \\ 0, & (X, Y) \notin R \end{array}\right.\)