The arrival of packets is stated by a Poisson process with a rate of 100 packets per second.
a. What is the formula for the probability distribution for the number of packets in 10 milliseconds?
b. What is the probability that no more than 1 packet will be received within a 10-millisecond period?
c. What is the formula for the probability distribution of the inter-arrival time of packets?
d. What is the probability that two packets will be separated by no more than 15ms?
e. What is the standard deviation of the inter-arrival time of packets?