SOLUTION: On average a certain intersection results in 3 traffic accidents per month. What is the probability that for any given month at this intersection (a) exactly 5 accidents will occ

Question 1061876: On average a certain intersection results in 3 traffic accidents per month. What is the probability that for any given month at this intersection
(a) exactly 5 accidents will occur?
(b) less than 3 accidents will occur?
(c) at least 2 accidents will occur?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
This is a Poisson probability experiment
:
Probability(Pr) (x; u) = e^(-u) * u^x / x!, where x is number of events, e is constant 2.71828 and u is the mean number of events
:
(a) Pr ( 5; 3 ) = 2.71828^(-3) * 3^5 / 5! = 0.101
:
(b) Pr ( X < 3; 3 ) = Pr (0; 3) + Pr (1; 3 ) + Pr (2; 3 ) = 0.423
:
(c) Pr ( X >= 2; 3 ) = 1 - (Pr (0; 3) + Pr (1; 3)) = 0.801
:

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