Question: Four bits are transmitted over a digital communica- tions channel. Each bit is either distorted or received without distortion. Let 4, denote the event that

Four bits are transmitted over a digital communica- tions channel. Each bit is either distorted or received without distortion. Let 4, denote the event that the ith bit is distorted, 1=1,...4.

(a) Describe the sample space for this experiment.

(b) Are the 4s mutually exclusive? Describe the outcomes in each of the following events:

(c) 4

(e) 4,040404

(d) 4' (0)

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