Four bits are transmitted over a digital communications channel. Each bit is either distorted or received without

Question:

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)