In Voice over Internet Protocol (VoIP) application, latency, X refers to the time between when a voice packet is transmitted and when it reaches its destination. In VoIP communication, latency X in the range of 150 to 300 (measured in ms) is considered acceptable (event A). The latency is considered as unreachable if X 300 (event U), and normal if X < 150 (event N). Given that the network is free (event R), latency X is the Gaussian (120, 65) random variable. Given that the network is congested (event C), latency X is the Gaussian (70, 30) random variable. A randomly chosen network is free with probability P[R] = 0.25 or congested with probability P[C] = 0.75. (a) What is the conditional PDF fxR(x)? (b) (c) Calculate the conditional probabilities P[UR] and P[N]R]. [2 marks] [4 Marks] Find P[RU], conditional probability that the network is free given the event of unreachable VoIP data. [4 Marks]