Please help me with these questions, thank you!!!

Question 1 1 pts Consider an arrival process which is Poisson with rate 0.5 per minute. What is the probability that there are no arrivals in the next 5 minutes? Give your answer with 3 decimal places. E Question 2 1 pts Consider an arrival process which is Poisson with rate 0.5 per minute. What is the probability that the next arrival occurs within the next minute? Give your answer with 3 decimal places. S Question 3 1 pts Consider an arrival process which is Poisson with rate 0.5 per minute. What is expected arrivals in one hour? Give an exact answer. E Question 4 1 pts Consider an arrival process which is Poisson with rate 0.5 per minute. What is the expected time of the next arrival? Give an exact answer (in minutes). S