Answer to Question #123909 in Electrical Engineering for zahid saleem

Question #123909
In a communication system, packets are transmitted from a sender to a receiver. Each
packet is received with no error with probability p independently from other packets
(with probability 1−p the packet is lost). The receiver can decode the message as soon as
it receives k packets with no error. Compute the probability that the sender sends exactly
n packets until the receiver can decode the message successfully
1
Expert's answer
2020-06-29T08:29:02-0400

In the case where the receiver decode as soon as possible , the packets receiver by him without error must exactly be k out of n packets.

Then , only two possibilities are there i.e Success or Failure , it behaves like a binomial probability.

Therefore,

Required probability = nCk * (p)k * (1-p)(n-k)

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