Suppose students arrive at an advising office at a rate of 30 per hour.Which of the following distributions would you use to determine the probability that the next two students will arrive 30 minutes apart?
A)Normal distribution.
B)Poisson distribution.
C)Uniform distribution.
D)Exponential distribution.

Question

Quizplus · Accepted Answer

The exponential distribution is appropriate for modeling the time between arrivals in a Poisson process, where events (in this case, student arrivals) occur randomly and independently over time. In this case, we are interested in the time between two arrivals, which can be modeled using the exponential distribution. The Poisson distribution could be used to model the number of arrivals in a given time period, but it would not be appropriate for modeling the time between arrivals. The normal and uniform distributions are not appropriate for this scenario.

Suppose Students Arrive at an Advising Office at a Rate