SOLUTION: An insurance company has an average of 9 claims per week. What is the probability that during the next week exactly 7 will be filed.

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Question 194883: An insurance company has an average of 9 claims per week. What is the probability that during the next week exactly 7 will be filed.
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
An insurance company has an average of 9 claims per week. What is the probability that during the next week exactly 7 will be filed.

If X is the number of successes in an interval
of fixed length and X follows a Poisson process 
with mean , then the probability that 
X = x is
         

         
In your problem, , , so

 

Edwin


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