Question: 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

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. Find the probability that the sender sends exactly n packets until the receiver can decode the message successfully.

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