The number of road construction projects that take place at any one time in a certain city follows a Poissondistribution with a mean of 6. Find the probability that more than four road construction projects are currentlytaking place in the city.
A) 0.714943
B) 0.848796
C) 0.285057
D) 0.151204

Question

Quizplus · Accepted Answer

The probability of more than four projects is 1 minus the probability of four or fewer projects. Using the Poisson distribution with mean 6, P(X > 4) = 1 - P(X ≤ 4) = 1 - (e^(-6) * (6^0/0! + 6^1/1! + 6^2/2! + 6^3/3! + 6^4/4!)) = 0.714943.

The Number of Road Construction Projects That Take Place at Any