Response to the following problem:
X is a binary memoryless source with P(X = 0) = 0.3. This source is transmitted over a binary symmetric channel with crossover probability p = 0.1.
1. Assume that the source is directly connected to the channel; i.e., no coding is employed. What is the error probability at the destination?
2. If coding is allowed, what is the minimum possible error probability in the reconstruction of the source?
3. For what values of p is reliable transmission possible (with coding, of course)?