excans:F274ac1813: Difference between revisions
(Created page with "'''Answer: C''' The 20-year female survival probability <math>=e^{-20 \mu}</math> The 20-year male survival probability <math>=e^{-30 \mu}</math> We want 1 -year female survival <math>=e^{-\mu}</math> Suppose that there were <math>M</math> males and <math>3 M</math> females initially. After 20 years, there are expected to be <math>M e^{-30 \mu}</math> and <math>3 M e^{-20 \mu}</math> survivors, respectively. At that time we have: <math display = "block">\frac{3 M e^...") |
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<math display = "block">\frac{3 M e^{-20 \mu}}{M e^{-30 \mu}}=\frac{85}{15} \Rightarrow e^{10 \mu}=\frac{85}{45}=\frac{17}{9} \Rightarrow e^{-\mu}=\left(\frac{9}{17}\right)^{1 / 10}=0.938</math> | <math display = "block">\frac{3 M e^{-20 \mu}}{M e^{-30 \mu}}=\frac{85}{15} \Rightarrow e^{10 \mu}=\frac{85}{45}=\frac{17}{9} \Rightarrow e^{-\mu}=\left(\frac{9}{17}\right)^{1 / 10}=0.938</math> | ||
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Latest revision as of 02:34, 18 January 2024
Answer: C
The 20-year female survival probability [math]=e^{-20 \mu}[/math]
The 20-year male survival probability [math]=e^{-30 \mu}[/math]
We want 1 -year female survival [math]=e^{-\mu}[/math]
Suppose that there were [math]M[/math] males and [math]3 M[/math] females initially. After 20 years, there are expected to be [math]M e^{-30 \mu}[/math] and [math]3 M e^{-20 \mu}[/math] survivors, respectively. At that time we have:
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.
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.