SOLUTION: Please help me solve this probablity question: Suppose the # of buses arriving at a campus has a Poisso

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Question 765567: Please help me solve this probablity question: Suppose the # of buses arriving at a campus has a Poisson probability distribution. Also,assume that the average # of arrivals per hr is 7.
A.) find the probablity of 5 arrivals in 1 hour?
B.)find the probablity of 12 or more arrivals in an hour?
C.)find the probablity of more than 3 arrivals in 30minutes?
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose the # of buses arriving at a campus has a Poisson probability distribution. Also,assume that the average # of arrivals per hr is 7.
A.) find the probablity of 5 arrivals in 1 hour?
P(X=5) = %28e%5E%28-7%29%29%287%5E5%29%2F5%21 = highlight%280.1277%29
B.)find the probablity of 12 or more arrivals in an hour?
P(X≥12) = 1+-+sum%28%28e%5E%28-7%29%29%287%5Ex%29%2Fx%21%2C+x=0%2C11%29 = highlight%280.0533496%29
C.)find the probablity of more than 3 arrivals in 30minutes?
The average # of arrivals per 30 minutes is 3.5.
P(X > 3) = 1+-+sum%28%28e%5E%28-3.5%29%29%283.5%5Ex%29%2Fx%21%2C+x=0%2C3%29 = highlight%280.46337%29