consider a fax/xerox outlet, processin files of various size. the size (in number of pages) of the files to be faxed or xeroxed has a geometric (p) and poisson (a) PMFs respectively. An arbitrary file arriving at the outlet is a fax file with probability s (s<1).
1.) What is the PMF of the size of an arbitrary file arriving at the outlet?
2.) Compute the expected size of an arbitrary file arriving at the outlet?