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Assume X1,…,X4 are IID with Xi?Po(?). Let Y=1/4(X1+…+X4). Find Pr(Y<1/2)?

Cara Wales
Posted 10 years ago

I have no clue where to even start with this question. Can anyone help please?
POSTED BY: Cara Wales
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Jim Baldwin
Jim Baldwin, Retired
Posted 10 years ago

There is a little bit of work to do before writing any Mathematica code:

  1. Note that Pr(Y<1/2) = Pr(4 Y < 2) = Pr(X1+X2+X3+X4 < 2)
  2. The sum of iid Poissons is a Poisson.
POSTED BY: Jim Baldwin
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