Problem 1 Statistical i Multiplexing Switch Outgoing Link of rate R bps P(talkspmt) = 0.4 P(silenee) = 0.6 6e We 6a A Talkspurt Silence Generate data at . Generate data at __ 56kbps Okbps nvn Figure 1: A statistical multiplexing switch connecting 4 VoIP terminals. Consider a statistical multiplexing switch which has an outgoing link rate of R bps. The switch support 4 terminals which are used to make Voice over IP (VoIP) calls as shown in Figure 1. Each VoIP calls is characterized by two states - talkspurt and silence as shown in Figure 1. In the talkspurt state the terminal generates data at 56 Kbps. The terminal uses silence suppression which implies that in the silence state it generates data at 0 Kbps. The probability of being in the talkspurt state is 0.4. The links between the terminals and the switch are not bottlenecks. If R = 64 Kbps, what is the probability that the switch will be congested