Problem 23E

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:

Solution:

Step 1 of 7:

Here it is given that four bits are transmitted over a digital communication channel.

Also, it is given that each bit is either distorted or received without distorted.

Event denotes that bit is distorted,i=1,2,3,4.

Using this we need to find the required values.