The number of bytes n in a message has a geometric distribution with parameter
p. suppose that the message is segmented into packets, with each packet
containing m bytes if possible, and any remaining bytes being put in the last
packet. let q denote the number of full packets in the message, and let r
denote the nubmer of bytes left over.
(a) find the joint pmf of q and r. pay attention on the support of the
joint pmf.
(b) find the marginal pmfs of q and r.
(c) repeat part (b), given that we know that n > m