Poisson distribution question

  • Thread starter semidevil
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ok, so on average, there is a chromosome mutation link once every 10,000 baby births.

approximate the probability that exactly 3 of the next 20,000 babies born will have the mutation.

so using poisson distribution, I let
p = 1/10,000
n = 20,000.

and use formula (e^(-np) * (np)^k / k!

so when I do the calculation, do I sum it all up for k = 1, 2, 3, or do I just calculate k = 3 and that is my final answer?

if they ask at most 3, then I would sum up k = 1, 2, 3 right?

I first applied the formula for k = 1, 2, 3, but then it got me thinking about it......
 

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