In a digital communication system, messages are encoded into binary
symbols 0 and 1.
Because of noise in the system, the incorrect symbol is sometimes
received.
Suppose that the probability of a 0 being transmitted is 0.4 and the
probability of a 1 being transmitted is 0.6.
Further, suppose that the probability of a transmitted 0 being
received as a 1 is 0.08, and the probability of a transmitted 1
being received as a 0 is 0.05.

*Hint: Draw a tree diagram.*

- a.
- What is the probability that a received 0 was transmitted as
a 0?

- b.
- What is the probability that a received 1 was transmitted as
a 1?

- c.
- What is the probability that any symbol is received in error?