exercise:7c66321da5: Difference between revisions
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(Created page with "A club is established with 2000 members, 1000 of exact age 35 and 1000 of exact age 45 . You are given: (i) Mortality follows the Standard Ultimate Life Table (ii) Future lifetimes are independent (iii) <math>\quad N</math> is the random variable for the number of members still alive 40 years after the club is established Using the normal approximation, without the continuity correction, calculate the smallest <math>n</math> such that <math>\operatorname{Pr}(N \geq n...") |
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(ii) Future lifetimes are independent | (ii) Future lifetimes are independent | ||
(iii) <math> | (iii) <math> N</math> is the random variable for the number of members still alive 40 years after the club is established | ||
Using the normal approximation, without the continuity correction, calculate the smallest <math>n</math> such that <math>\operatorname{Pr}(N \geq n) \leq 0.05</math>. | Using the normal approximation, without the continuity correction, calculate the smallest <math>n</math> such that <math>\operatorname{Pr}(N \geq n) \leq 0.05</math>. | ||
<ul class="mw-excansopts"><li> 1500</li><li> 1505</li><li> 1510</li><li> | <ul class="mw-excansopts"><li> 1500</li><li> 1505</li><li> 1510</li><li> 1515</li><li> 1520</li></ul> | ||
{{soacopyright|2024}} | |||
Latest revision as of 01:34, 18 January 2024
A club is established with 2000 members, 1000 of exact age 35 and 1000 of exact age 45 . You are given:
(i) Mortality follows the Standard Ultimate Life Table
(ii) Future lifetimes are independent
(iii) [math] N[/math] is the random variable for the number of members still alive 40 years after the club is established
Using the normal approximation, without the continuity correction, calculate the smallest [math]n[/math] such that [math]\operatorname{Pr}(N \geq n) \leq 0.05[/math].
- 1500
- 1505
- 1510
- 1515
- 1520
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.