In Santa Clara University, students arrive at Benson food court with an arrival rate of 4 students per minute. The probability that the time between two successive student arrivals at Benson is greater than 2 minutes is:

The probability that the time between two successive student arrivals at Benson is greater than 2 minutes is 0.000335.

Explanation:

The arrival rate of students is 4 students per minute.

The time between 2 successive arrivals is a random variable having exponential distribution.

The formula for exponential distribution is:

where L = Arrival rate of students (per minute) = 4

Hence,

We require the probability that the time between two successive arrivals is greater than 2 minutes. Therefore,