Consider a transmission line channel that employs n − 1 regenerative repeaters plus the...

Consider a transmission line channel that employs n − 1 regenerative repeaters plus the terminal receiver in the transmission of binary information. Assume that the probability of error at the detector of each receiver is p and that errors among repeaters are statistically independent.

1. Show that the binary error probability at the terminal receiver is

2. If p = 10^-6 and n = 100, determine an approximate value of P_n.