Question

For many waiting line situations, the arrivals occur randomly and independently of other arrivals and it has been found that a good description of the arrival pattern is provided by :

an exponential probability distribution.
a uniform probability distribution.
a normal probability distribution.
a Poisson probability distribution.

Answer 1

Poisson Probability Distribution

Explanation:

Considering the case : Many people waiting in line situations, the arrivals occur randomly and independently of other arrivals. A good description of the arrival pattern is provided by Poisson Probability Distribution. Option (a) an exponential probability distribution is false. As the arrival of the people is not continuous and may or may not occur at a constant average rate.Option (b) uniform probability distribution is false as the arrivals occur random but not uniform .Option (c) normal probability distribution is false. As the normal distribution is a Continuous Probability Distribution and the arrival of the people is not continuous. This is not Normal Distribution.