A club is established with 2,000 members, 1,000 of exact age 35 and 1,000 of exact age 45. You are given: (i) Mortality follows the Standard Ultimate Life Table. (ii) Future lifetimes are independent. (iii) N is the random variable for the number of members still alive 30 years after the club is established. Using the normal approximation, without the continuity correction, calculate the smallest n such that Pr(N2n) ≤ 0.05.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A club is established with 2,000 members, 1,000
of exact age 35 and 1,000 of exact age 45.
You are given:
(i) Mortality follows the Standard Ultimate Life
Table.
(ii) Future lifetimes are independent.
(iii) N is the random variable for the number of
members still alive 30 years after the club is
established.
Using the normal approximation, without the
continuity correction, calculate the smallest n such
that Pr(N≥n) ≤0.05.
A
B
с
D
E
1,824
1,832
1,838
1,841
1,848
Transcribed Image Text:A club is established with 2,000 members, 1,000 of exact age 35 and 1,000 of exact age 45. You are given: (i) Mortality follows the Standard Ultimate Life Table. (ii) Future lifetimes are independent. (iii) N is the random variable for the number of members still alive 30 years after the club is established. Using the normal approximation, without the continuity correction, calculate the smallest n such that Pr(N≥n) ≤0.05. A B с D E 1,824 1,832 1,838 1,841 1,848
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