Generate exponential distribution of event times

I have to generate event times in the time interval [0; T] with T = 2000 s such that the waiting times between consecutive events are exponentially distributed with mean u = 0.4 s. Then counting the number of events per second.

I thought I could start by looking at each event time as the sum of all previous waiting times. But I am not allowed to use loops in my script, so I kinda got stuck there.

I would appreciate some kind of hint :)

[David Goodmanson]

Hi Borjon, here is one; find out how samples taken from a poisson distribution are related to the problem at hand.