Please show all work will rate fast The number of traffic ac

Please show all work, will rate fast.

The number of traffic accidents that occur on a particular stretch of road during a month follows a Poisson distribution with a mean of 3. Find the probability of observing two or more accidents on this stretch of road next month.

Solution

Note that P(at least x) = 1 - P(at most x - 1).          
          
Using a cumulative poisson distribution table or technology, matching          
          
u = the mean number of successes =    3      
          
x = our critical value of successes =    2      
          
Then the cumulative probability of P(at most x - 1) from a table/technology is          
          
P(at most   1   ) =    0.199148273
          
Thus, the probability of at least   2   successes is  
          
P(at least   2   ) =    0.800851727 [ANSWER]