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Statement of a problem № m457

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Four bits are transmitted over a digital communications channel. Each bit is either distorted or received without distortion. Let Ai denote the event that the ith bit is distorted, i = 1,.., 4. (a) Describe the sample space for this experiment. (b) Are the Ai’s mutually exclusive? Describe the outcomes in each of the following events: (c) A 1 (d) 1’ (e) A1 ∩ A2 ∩ A3 ∩ A4 (f) (A1 ∩ A2) U (A3 ∩ A4)

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