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Important Aloha Numerical please solve

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There are Two Nodes

n1 and n2

probability of n1=0.8(p1)

probability of n2=x(p2)

probability of success full transmission of packet from node 1=0.8*(1-x)

probability of success full transmission of packet from node 2=x*(1-0.8)

given troughput to attain for S1 =1mbps

therefore  for node 2

10/1=x*0.2

x=0.5(probabilty of node 2)

throughput for node 1=0.8*(1-x) -> 0.8*0.5 ->.4

.4*10mbps= 4mbps (for node 1)

total throughput of network 4mbps + 1mbps =5 mbps

 

 

please correct me ,where i am wrong...
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