The arrival of airline passengers to the check in line is ex

The arrival of airline passengers to the check in line is exponentially distributed with a mean time between passenger arrivals of 5 minutes. What is the expected number of passengers to arrive in a 20-minute interval? Which drstribution does the random vanatge follow? Gamma Lognormal Normal Hypergeometric Poisson Negative Binomial Binomial Exponential Weibull -101?111110

Solution

When the mean arrival time between 2 consecutive events follows an Exponential Distribution, the events follow a Poisson Distribution.

So the arrival of passengers follows a Poisson Distribution

Answer: Poisson