In the transmission of digital information, the proba- bility that a bit has high, moderate, or low distortion is 0.01, 0.04, and 0.95, respectively. Suppose that three bits are trans- mitted 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?

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In the transmission of digital information, the proba-
bility that a bit has high, moderate, or low distortion is 0.01,
0.04, and 0.95, respectively. Suppose that three bits are trans-
mitted 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?
Transcribed Image Text:In the transmission of digital information, the proba- bility that a bit has high, moderate, or low distortion is 0.01, 0.04, and 0.95, respectively. Suppose that three bits are trans- mitted 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?
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