Exercises
This section contains a series of exercises. The answers to all these can be found in the Answers_to_Exercises_Chap13.ipynb Jupyter notebook in this book’s GitHub repository.
We have a composite random variable, 
, that consists of three binary random variables, 
. We denote this as 
. We’ll use 
for the outcome for 
, 
for the outcome of 
, and 
for the outcome of 
. This means 
.
We can write the outcome, 
, for the overall random variable, , as a three-digit bit-string For example, 
–to represent the outcome, 
. There are 
possible values for 
; these are 000,001,010,011,100,101,110,111. We can also denote the true probability distribution, P X(x), as 
; it corresponds to eight numbers (between 0 and 1) that all add up to 1.
Now, let’s introduce our approximation, 
. We will use a product approximation, so we’ll write the following:
Eq. 44
We’ve put the superscript “approx” on the distributions on the...
