In the transmission of digital information, the probability that a bit has high, moderate, or low distortion is 0.01, 0.04, and 0.95, respectively. Suppose that three bits are transmitted and that the amount of distortion of each bit is assumed to be independent.
(a) What is the probability that two bits have high distortion and one has moderate distortion?
(b) What is the probability that all three bits have low distortion?