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part C requires the use of some binomial distribution function such as in Excel or MATLAB. I need help setting up/ understanding the parameters for that. Thank you!

Problem 4. Suppose you have built a unit to determine the information content of a communication signal, that is, the values of the received bits. It is desired that the probability of a bit error is less than $P_{b}=10_{?4}$, that is, the bit error rate (BER) is less than $10_{?4}$. To validate the unit you process some test bits independently (for which you know the correct values) and then compare the correct values with what the unit determines. Let $N$ denote the number of test bits you use and let $X$ denote the number of bit errors coming out of the unit from the $N$ bits processed. Then an estimate for $P_{b}$ is $P^_{b}=X/N$. Suppose you use $N=1,000,000$ bits a. Plot $P^_{b}$ vs. $X$. b. Suppose $X=95$. Would you feel very confident that your unit is working properly? Why or why not? c. Assume the actual value of $P_{b}$ is exactly $10_{?4}$. How large can $X$ be (call it $x_{0})$ so that $P(X?x_{0})<0.05$ ? The idea here is that if $P(X?x_{0})$ is small then you will have observed a rare event given your assumption about the value of $P_{b}$ so most likely the true value for $P_{b}$ is smaller than $10_{?4}$ (which you want).

a) To plot hat P_{b} vs. X, we can use the following code in Python:import matplotlib.pyplot as pltN = 1000000p_b = 10 ** -4x_values = range(N+1)p_b_h