Response to the following problem:
Refer to Problem 1. The average arrival rate is λ = 10 packets/s. Determine
a. The average time between arrivals.
b. The probability that another packet will arrive within 1 s; within 100 ms.
Problem 1:
For a Poisson process, the probability of k arrivals in a time interval T is
a. Determine the average number of arrivals in the interval T.
b. Determine the variance σ2 in the number of arrivals in the interval T.
c. What is the probability of at least one arrival in the interval T?
d. What is the probability of exactly one arrival in the interval T?