Four bits are transmitted over a digital communication channel. Each bit will be received either distorted or without distortion. Let A_i denote the event that the i^th bit is distorted,

i =1, 2,.....4

1. Describe the sample space for this experiment.
2. Are the A _is mutually exclusive?

Describe the outcomes of each of the following events:

1. A₁
2. A₁^'
3. A₁ A₂ A₃ A₄
4. (A₁ A₂ ) ( A₃ A₄ ).

(12- F our hits are transmitted over a digital communication channel. Each hit will be received either distorted or without distortion. Let A: denote the event that the im hit is distorted: i =1? 21%..13 (a) Describe the sample space for this experiment. (h) Are the A E 111111113113" exclusive? Describe the outcomes of each of the following events: {3} A1 Amen new if) (A1 Pl A2] U (A3 F1 A4}