Mutual Information

X and Y are Bernoulli random variables taking values in {0,1}. The joint probability mass function of the random variables is given by: $P(X = 0, Y = 0) = 0.06$ $P(X = 0, Y = 1) =...

$X$ and $Y$ are Bernoulli random variables taking values in $\{0,1\}$. The joint probability mass function of the random variables is given by: $$ \begin{aligned} & P(X=0, Y=0)=0.0...

Let $$\left( {{X_1},\,{X_2}} \right)$$ be independent random variables, $${X_1}$$ has mean 0 and variance 1, while $${X_2}$$ has mean 1 and variance 4. The mutual information I $$\...