Use the Poisson Distribution to find the indicated probabili

Use the Poisson Distribution to find the indicated probability:
The number of road construction projects that take place at any one time in a certain city follows a Poisson distribution with a mean of 6. Find the probability that exactly three road construction projects are currently taking place in this city.

Solution

Note that the probability of x successes out of n trials is          
          
P(x) = u^x e^(-u) / x!          
          
where          
          
u = the mean number of successes =    6      
          
x = the number of successes =    3      
          
Thus, the probability is          
          
P (    3   ) =    0.089235078 [ANSWER]