SOLUTION: Let X be a Poisson random variable with λ = 1/3. Find (a) P(X = 0) (b) P(X ≥ 4). thank you

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Question 1177762: Let X be a Poisson random variable with λ = 1/3. Find
(a) P(X = 0)
(b) P(X ≥ 4).
thank you
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Poisson Distribution:  λ = 1/3
Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus
(a) P(X = 0) = poissonpdf(1/3, 0)= .7165  Or = ((1/3)^0/0!)*e^(-1/3)}}} = .7165
(b) P(X ≥ 4) = 1 - P(X  ≤  3) = 1 - .0044 = .9956
Or
long hand: p%28x%29+=+%28%281%2F3%29%5Ex%2Fx%21%29%2Ae%5E%28-1%2F3%29
P(x = 0) + P(x = 1) + P(x = 2)  + P(x = 3) 
Wish You the Best in your Studies.