SOLUTION: The number of boating accidents on lake Emilie follows a Poisson distribution. The probability of an accident is 0.003. If there are 1000 boats on the lake during a summer month, f

Question 1000735: The number of boating accidents on lake Emilie follows a Poisson distribution. The probability of an accident is 0.003. If there are 1000 boats on the lake during a summer month, find the probability that there will be 6 accidents
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
lambda=np=1000(0.003)=3
the general probability is
P=exp (-lambda) lambda^x/x!
This would be
exp (-3)(3)^6/6!
=0.0504.
This makes intuitive sense, as the expected value is significantly lower.

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