Refer to Problem 16.18. The average arrival rate is λ = 10 packets/s. Determine a....

Refer to Problem 16.18. 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 16.18

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 ?