17th  Top basic probability topics 
Question 1: For the homogeneous Poisson process, these interarrival times are ________ with parameter λ (mean 1/λ).  

Question 2: The probability distribution of the waiting time until the next occurrence is an ________.  

Question 3: Consequently, the waiting time until the first arrival T_{1} has an ________, and is thus memoryless.  

Question 4: Examples that are wellmodeled as Poisson processes include the ________ of atoms, telephone calls arriving at a switchboard, page view requests to a website, and rainfall.  

Question 5: The number of events between time a and time b is given as N(b) − N(a) and has a ________.  

Question 6: The Poisson process is a collection {N(t) : t ≥ 0} of ________, where N(t) is the number of events that have occurred up to time t (starting from time 0).  

Question 7: The Poisson process is a continuoustime process: its discretetime counterpart is the ________.  

