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So I already asked this question and I got a response but I feel the answer...

So I already asked this question and I got a response but I feel the answer may be wrong. The person who answered said simply to plug 30 into the second formula and that's our answer. The question asks for the probability that (30) dies within the next 20 years. So there's a possibility of death before 40 so wouldn't we work that formula into the answer as well?

You are given the following survival function of a new born:

S₀(x) = 1-(x/250) 0≤x<40

            1-(x/100)^2 40≤x≤100

Calculate the probability that (30) dies within the next 20 years.

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