As a generalization of the message transmission system in Problem 8.1.5, consider a terminal that has n messages to transmit. The components ki of the n-dimensional random vector K are the total number of messages transmitted when message i is received successfully.
(a) Find the PMF of K.
(b) For each j ∈ {1,2,... ,n - 1}, find the, marginal PMF pK1,...,Kj(k1, ... , kj).
(c) For each i ∈ {1,2,..., n}, find the marginal PMF PKi(ki).