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.

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