Hi .. need help with these questions e and f.. Thank you!

(e) Suppose that a discrete random variable X is uniform on the interval {-4, -3, -2, -1, 0, 1, 2, 3, 4). Let Y = X . Show that X and Y are uncorrelated, but not independent of each other. (4 marks) (f) Consider the requests arriving at a help desk as a Poisson arrival process. The average arrival rate is 48 arrivals per day. The inter-arrival time T is measured in hours. What is the PDF of 7? What is the probability P[/ =1/4] and P[0