The arrivals of the phone calls to a call centre is a Poisson process with rate 2 calls/minute.

Let random variable T denote the inter-arrival interval between the arrival time of the first call and the

arrival time of the second call.

Find: a) what is the probability that there is no call in the first 2 minutes? b) what is the probability that

there are more than 2 calls in the first 2 minutes? c) what is the Probability Density Function (PDF) ?

d) what is the probability P[T > 1 minute]?