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An upper-layer packet is split into 10 frames, each of which has an 80% chance of arriving
undamaged. If no error control is done by the data link protocol, how many
times must the message be sent on average to get the entire thing through?

how is it different if we use error control ?

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  • in that case message will be sent only one time but fame may be sent multiple time depends on how noisy is the medium.
  • a message will be successfully transmitted only when each frame will arrive undamage.
  • probability of successfully transmission is $(.8)*(.8)*(.8)*(.8)*(.8)*(.8)*(.8)*(.8)*(.8)*(.8)\cong (.8)^{10}$
  • so mean no of transmission=$\frac{1}{P}= \frac{1}{.8^{10}}\cong 10$ times

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