Question

CSEL gets very crowded when homework is due, or when there is a test for Intro to Data Science. Let T denote the random variable representing the length of time between subsequent arrivals of students. T should follow an exponential distribution (in minutes) with LaTeX: \lambda = 0.2 λ = 0.2 students per minute.How long on average are the intervals between student arrivals?

Answer 1

5 minutes

Explanation:

If the mean arrival rate is 0.2 students per minute, the expected time interval between student arrivals, in minutes, is determined by the inverse of the arrival rate:

`t = (1)/(\lambda)=(1)/(0.2)=5\ minutes`

The interval between student arrivals is, on average, 5 minutes.