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In a communication network, a packet of length L bits takes link L1with a probability of P1 or link L2 with a probability of P2. Link L1 and L2 have bit error probability of b1 and b2 respectively. The probability that the packet will be received without error via either L1 or L2 is
- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In a communication network, a packet of length L bits takes link L1wit...
Probability of choosing link L1
= P1
Probability for no bit error (for any single bit) = 1 - b1
Similarly for link L2
= P1
Probability for no bit error (for any single bit) = 1 - b1
Similarly for link L2
Probability of no bit error = (1 - b
Packet can go either through link L1 or L2 they are mutually exclusive events (means one event happens other won't be
happening and so we can simply add their respective probabilities for the favorable case).
Probability packet will be received without any error = Probability of L1 being chosen and no error in any of the L bits +
Probability of L2 being chosen and no error in any of the L bits
2
)Packet can go either through link L1 or L2 they are mutually exclusive events (means one event happens other won't be
happening and so we can simply add their respective probabilities for the favorable case).
Probability packet will be received without any error = Probability of L1 being chosen and no error in any of the L bits +
Probability of L2 being chosen and no error in any of the L bits
Hence answer is option A .
Why option D is not correct choice here ?
Option D here is giving the probability of a frame being arrived with at least one bit correctly - i.., all the bits are not
errors.
Option D here is giving the probability of a frame being arrived with at least one bit correctly - i.., all the bits are not
errors.
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In a communication network, a packet of length L bits takes link L1with a probability of P1 or link L2 with a probability of P2. Link L1 and L2 have bit error probability of b1 and b2 respectively. The probability that the packet will be received without error via either L1 or L2isa)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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