Compute Probabilities of a Poisson Random Variable
-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 2. Find the probability that more than four road construction projects are currently taking place in the city.
A) 0.052653
B) 0.142877
C) 0.947347
D) 0.857123

Question

Quizplus · Accepted Answer

The probability of more than four road construction projects can be found by subtracting the probability of four or fewer projects from 1. Using the Poisson distribution formula, this involves calculating the cumulative probability for 0 to 4 projects and subtracting from 1. The correct calculation leads to a probability of approximately 0.052653 for more than four projects.