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  1. set.seed(420)
  2. n = 10; lam = 6
  3. s = replicate(10^6, sum(rpois(n,lam)))
  4. mean(s); var(s)
  5. [1] 59.98709 # aprx E(S) = 60
  6. [1] 60.06938 # aprx Var(S) = 60
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