Suppose there are i.i.d. binary random variables $X_i \sim X$ with distribution $P(X=1) = 0.75$ and $P(X=0) = 0.25$
i) For $n=5$ and $e=0.1$, which sequences fall in the typical set $A_e^n$? What is the probability of $A_e^n$?
ii) How many elements are in the essential bit content set $S_e$ for $X^5$ for $e = 0.1$?