Information Theory Question-

Provide the complete programming codes you use as an Appendix to the submitted solution. Solve using c++

Q: Generate two different random Bernoulli sequences X and Y representing independent coin throws. Sequence X is for a fair coin and Y is for an unfair coin ( 2/3 heads and 1/3 tails). Each sequence will be of length N = 10000.

- Compute the PMFs P(X) and P(Y) for the two sequences and plot them as bar charts.

- Compute the entropies H(X) and H(Y) of the two sequences and compare your results

with the theoretical entropies expected from random Bernoulli variables.