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

Question

4 years ago

9

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?

Mathematics

1 answer:

Alinara [238K] · Answer 1 · 2022-01-26T18:18:57+03:00

Alinara [238K]4 years ago

7 0

Answer:

5 minutes

Step-by-step 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:

$t = \frac{1}{\lambda}=\frac{1}{0.2}=5\ minutes$

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