Pembahasan Soal Ujian Profesi Aktuaris
SOAL
Berdasarkan soal nomor 23. Hitunglah \(Var\left[ {{T_{30:50}}} \right]\)
- 50
- 100
- 150
- 200
- 400
| Diketahui |
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| Rumus yang digunakan | \({\mu _{xy}} = {\mu _x} + {\mu _y}\)
Untuk Distribusi Eksponensial : Mean: \(E\left[ {{T_{xy}}} \right] = e_{xy}^0 = \frac{1}{{{\mu _{xy}}}}\) Varians: \(Var\left[ {{T_{xy}}} \right] = {\left( {\frac{1}{{{\mu _{xy}}}}} \right)^2}\) |
| Proses pengerjaan | \(Var\left[ {{T_{30:50}}} \right] = {\left( {\frac{1}{{{\mu _{xy}}}}} \right)^2} = {\left( {\frac{1}{{{\mu _x} + {\mu _y}}}} \right)^2} = {\left( {\frac{1}{{0.05 + 0.05}}} \right)^2} = 100\) |
| Jawaban | b. 100 |