excans:E52fbbf276: Difference between revisions
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<math>\Rightarrow s d[\hat{S}(25)] \approx 0.8940 \sqrt{\left(\frac{1}{29 \times 28}+\frac{2}{27 \times 25}\right)}=0.0579</math> | <math>\Rightarrow s d[\hat{S}(25)] \approx 0.8940 \sqrt{\left(\frac{1}{29 \times 28}+\frac{2}{27 \times 25}\right)}=0.0579</math> | ||
{{soacopyright|2024}} | |||
{{soacopyright|2024}} | {{soacopyright|2024}} | ||
{{soacopyright|2024}} | {{soacopyright|2024}} | ||
Revision as of 02:34, 18 January 2024
Answer: C
[math]s d[\hat{S}(25)] \approx \hat{S}(25) \sqrt{\sum_{t_{(j)} \leq 25} \frac{d_{j}}{r_{j}\left(r_{j}-d_{j}\right)}}[/math]
[math]\hat{S}(25)=\hat{p}_{1} \times \hat{p}_{2}=0.8940[/math]
[math]d_{1}=r_{1}\left(1-\hat{p}_{1}\right)=1 ; \quad d_{2}=r_{2}\left(1-\hat{p}_{2}\right)=2[/math]
[math]\Rightarrow s d[\hat{S}(25)] \approx 0.8940 \sqrt{\left(\frac{1}{29 \times 28}+\frac{2}{27 \times 25}\right)}=0.0579[/math]
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.