Assignment:
Let N = Nn + Nn+1, where Nn and Nn+1 are as defined in Problem. Write an expression for the pdf of N, and give an interpretation for N.
Problem: Consider the pure ALOHA arrival scenario shown in Figure. The vertical arrows indicate packet arrival times. Nn is the number of arriving packets in the time interval (Tn-1, Tn], where (G, r indicates the interval tx < t="" ≤="">n+1 is the number of arriving packets in (Tn-I] and is the time duration per packet in seconds. The average arrival rate is X,. Assume the arrivals are independent of each other.
(a) Write an expression for the joint pfd of NA and Nn-1.
(b) Let Tn define the time at which user A's packet arrives. Express. in terms of the joint pdf of Nn and Nn+1the probability that user A's transmission will be successful.
Provide complete and step by step solution for the question and show calculations and use formulas.