Pembahasan Ujian PAI: A50 – No. 6 – November 2016

\(\hat S\left( 5 \right) = 0,971368\)

• \(Var\left[ {\left. {\hat S\left( 5 \right)} \right|\left\{ {{{n’}_i}} \right\}} \right] = {\left[ {\hat S\left( t \right)} \right]^2} \cdot \sum\limits_{i = 0}^{x – 1} {\left( {\frac{{{q_i}}}{{{p_i} \cdot {n_i}}}} \right)} \)
• \({p_i} = 1 – {q_i} = 1 – \frac{{{d_i}}}{{{n_i}}}\)

\(Var\left[ {\left. {\hat S\left( 5 \right)} \right|\left\{ {{{n’}_i}} \right\}} \right] = {\left( {0.971368} \right)^2}\left[ {0.00002332} \right]\)
\(Var\left[ {\left. {\hat S\left( 5 \right)} \right|\left\{ {{{n’}_i}} \right\}} \right] = 0.000022\)