Using a Poisson Distribution, find P(3) if µ = 2. Round to 3 decimal places if necessary.

Question

1.804


0.008


0.180


18.045


none of the above.

Answer 1

P(x;μ) = (e-μ)(μx) / x!
P(3;2) = (e-2)(23) / 3!
P(3;2) ≈ (0.135335283)(8) / 6
P(3;2) ≈ 0.180447044