Pembahasan Soal Ujian Profesi Aktuaris
SOAL
Jika diketahui \(T\) berdistribusi uniform di daerah \(\left[ {1,3} \right]\). Tentukan \(Var\left( T \right)\)
- \(\frac{1}{3}\)
- \(\frac{1}{4}\)
- \(\frac{1}{5}\)
- \(\frac{2}{3}\)
- \(\frac{3}{4}\)
| Diketahui | \(T\) berdistribusi uniform di daerah \(\left[ {1,3} \right]\) |
| Rumus yang digunakan | Uniform: \(Var\left( T \right) = \frac{{{{\left( {b – a} \right)}^2}}}{{12}}\) |
| Proses pengerjaan | \(Var\left( T \right) = \frac{{{{\left( {b – a} \right)}^2}}}{{12}} = \frac{{{{\left( {3 – 1} \right)}^2}}}{{12}} = \frac{4}{{12}} = \frac{1}{3}\) |
| Jawaban | A. \(\frac{1}{3}\) |