Consider a transmission system that operates according to the modified Stop-and-Wait ARQ protocol. Assume that a frame consists of N blocks and each block has size of m bits. Each bit may experience transmission error independently with probability p while ACKs are received error free. In the first trial, the transmitter transmits all the N blocks of the frame and the receiver accepts error free blocks. The blocks in error are retransmitted in the second trial, again the receiver accepts the error free blocks. The trials continue until all the blocks of the frame are received error free. Determine,

i) Probability that a block will be received error free on a trial.

ii) Probability that a block will be received error free on the jth trial.

iii) Probability that by the end of nth trial, k of the N blocks will be received error free