Question: Consider sending packets through a switch with two packet - switched channels ( Channel A and Channel B ) . Suppose that 4 0 %

Consider sending packets through a switch with two packet-switched channels
(Channel A and Channel B). Suppose that 40% of the packets are routed via
Channel A, and suppose:
1% of the packets are lost on Channel A; and
0.5% of the packets are lost on Channel B.
a. If one packet is sent, find the probability that it is lost.
b. If a packet is lost, what is the probability that it was sent via Channel A?
c. If three packets are sent, what is the probability that all three packets are lost?

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