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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?

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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:

[tex]t = \frac{1}{\lambda}=\frac{1}{0.2}=5\ minutes[/tex]

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

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