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 four road construction projects are currently taking place in this city.
A) 0.133853
B) 0.032968
C) 0.423040
D) 0.104196

Question

Quizplus · Accepted Answer

The probability of observing exactly k events in a Poisson distribution is given by the formula P(X=k) = (λ^k * e^(-λ)) / k!. For this problem, λ = 6 and k = 4. Plugging these values into the formula gives the probability of exactly four projects.

The Number of Road Construction Projects That Take Place at Any