Suppose the arrival of calls at a switchboard is modeled as a Poisson process with the rate of calls per minute being ![](https://test.transtutors.com/qimg/1225057a-67cb-4b8f-987a-6d11985f68b5.png)
(a) What is the probability that the number of calls arriving in a 10-minute interval is less than 10?
(b) What is the probability that the number of calls arriving in a 10-minute interval is less than 10 if ![](https://test.transtutors.com/qimg/2ed597d1-fde9-4ead-956e-f582d51bcb8f.png)
(c) Assuming
what is the probability that one call arrives during the first 10-minute interval and two calls arrive during the second 10-minute interval?