(Solved) : P33 Consider Hierarchical Network Figure 630 Suppose Data Center Needs Support E Mail Vide Q32729280 . . . .

P33. Consider the hierarchical network in Figure 6.30 andsuppose that the data center needs to
support e-mail and video distribution among other applications.Suppose four racks of servers
are reserved for e-mail and four racks are reserved for video. Foreach of the applications, all
four racks must lie below a single tier-2 switch since the tier-2to tier-1 links do not have
sufficient bandwidth to support the intra-application traffic. Forthe e-mail application, suppose
that for 99.9 percent of the time only three racks are used, andthat the video application has
identical usage patterns.
a. For what fraction of time does the e-mail application need touse a fourth rack? How
about