Consider a pure Aloha network with an infinite number of nodes on
a straight line of lengtha. Each packet transmission is of unit length,
and transmissions are attempted according to a Poisson process of rate
G. Assume that in this network there are only broadcasts and that a transmission should be received at all the nodes. A transmission is a
success only if it is received correctly at all the nodes.
a. Find the conditional probability that a transmission starting atx,0≤ x≤a, is successful.
b. Find the broadcast throughput of the network.