Problem # 3. A pair of packets is sent over the network to an end user....
Problem # 3. A pair of packets is sent over the network to an end user. It is known that the first packet will be lost with probability 1/3. If the first packet is received, then the second packet is lost with probability 1/6. If the first packet is lost then the second packet is lost with probability 2/3. Find the probabilities of the events:
a) Exactly one packet is received by the end user.
b) Both packets are lost.
Homework Answers
Tree Diagram
a) P(exactly one packet is received by end user) = P(first is lost and second is received) + P(first is received and second is lost)
= 1/3 x 1/3 + 2/3 x 1/6
= 2/9
b) P(both packets are lost) = 1/3 x 2/3
= 2/9
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