Pembahasan Ujian PAI: A50 – No. 7 – November 2015

Pembahasan Soal Ujian Profesi Aktuaris

SOAL

Diketahui fungsi force of mortality \(\mu \left( x \right) = \frac{1}{{x + 1}},x \ge 0\).
Tentukan PDF (probability density function) dari X.

1. \(f\left( x \right) = \frac{1}{{x + 1}},x \ge 0\)
2. \(f\left( x \right) = \frac{x}{{x + 1}},x \ge 0\)
3. \(f\left( x \right) = {e^{x + 1}},x \ge 0\)
4. \(f\left( x \right) = \frac{{x + 1}}{x},x \ge 0\)
5. \(f\left( x \right) = \frac{1}{{{{\left( {x + 1} \right)}^2}}},x \ge 0\)