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 7. Find the probability that more than four road construction projects are currently taking place in the city.
A) 0.827008
B) 0.918235
C) 0.172992
D) 0.081765

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 λ = 7, calculate P(X ≤ 4) and subtract from 1 to find P(X > 4). This results in approximately 0.827008.

The Number of Road Construction Projects That Take Place at Any