Let {N (t) , t ≥ 0} be a Poisson Process for the number of emails received by a professor up to time t. What is the probability that they have received exactly 3 emails within the first hour of releasing an assignment if the Poisson rate of received emails is 5 per hour?
i. 0.1404
ii. 0.6
iii. 0.0842
iv. 0.1755
v. None of the above