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(Created page with "In a population initially consisting of <math>75 \%</math> females and <math>25 \%</math> males, you are given: (i) For a female, the force of mortality is constant and equals <math>\mu</math> (ii) For a male, the force of mortality is constant and equals <math>1.5 \mu</math> (iii) At the end of 20 years, the population is expected to consist of <math>85 \%</math> females and <math>15 \%</math> males Calculate the probability that a female survives one year. <ul cla...")
 
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<ul class="mw-excansopts"><li> 0.89</li><li> 0.92</li><li> 0.94</li><li> 0.96</li><li> 0.99</li></ul>
<ul class="mw-excansopts"><li> 0.89</li><li> 0.92</li><li> 0.94</li><li> 0.96</li><li> 0.99</li></ul>
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Revision as of 00:25, 18 January 2024

In a population initially consisting of [math]75 \%[/math] females and [math]25 \%[/math] males, you are given:

(i) For a female, the force of mortality is constant and equals [math]\mu[/math]

(ii) For a male, the force of mortality is constant and equals [math]1.5 \mu[/math]

(iii) At the end of 20 years, the population is expected to consist of [math]85 \%[/math] females and [math]15 \%[/math] males

Calculate the probability that a female survives one year.

  • 0.89
  • 0.92
  • 0.94
  • 0.96
  • 0.99

Copyright 2024 . The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.