This question about Probability theory.?

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afham comel

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Country A consists of 600,000 people aged 30. The country experiences about 0.5% death at age 30. If the number of death, X is assumed to be distributed as Binomial (n=600,000,p= 0.5%), then,
a.What is the probability that the number of death at age 30 is its mean?
b.Pr(1000 less and equal than X < 2000), and
c.If the number of population is too large, and its probability of death is too small so that its mean and variance are np approximately, then compute (Pr(X=500) .
 
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