Question: Consider two binary variables x and y having the joint distribution given in table: y 0 1 x 0 1/3 1/3 1 0 1/3 Evaluate

  1. Consider two binary variables x and y having the joint distribution given in table:

y

0

1

x

0

1/3

1/3

1

0

1/3

Evaluate the following quantities - differential entropy H and mutual information I between the variables x and y:

(a) H[x] (c) H[y|x] (e) H[x, y]

(b) H[y] (d) H[x|y] (f) I[x, y].

Draw a diagram to show the relationship between these various quantities.

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