SOLUTION: Suppose that the number of accidents occurring on a highway each day is a Poisson random variable with parameter λ =3.1 i. Find the probability that 3 or more accidents occur t

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Question 1184023: Suppose that the number of accidents occurring on a highway each day is a Poisson
random variable with parameter λ =3.1
i. Find the probability that 3 or more accidents occur today
ii. Find the probability that no accident occur today
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The pmf for the Poisson distribution is p%28x%29+=+e%5E%28-lambda%29%2A%28lambda%5E%28x%29%2Fx%21%29 for x = 0, 1, 2, 3, 4, ...

i. , to 5 d.p.

ii. p%280%29+=+e%5E%28-3.1%29%2A%283.1%5E%280%29%2F0%21%29+=+0.04505, to 5 d.p.