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(Solved): part C requires the use of some binomial distribution function such as in Excel or MATLAB. I nee ...



Problem 4. Suppose you have built a unit to determine the information content of a communication signal, that is, the values

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 , that is, the bit error rate (BER) is less than . 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 denote the number of test bits you use and let denote the number of bit errors coming out of the unit from the bits processed. Then an estimate for is . Suppose you use bits a. Plot vs. . b. Suppose . Would you feel very confident that your unit is working properly? Why or why not? c. Assume the actual value of is exactly . How large can be (call it so that ? The idea here is that if is small then you will have observed a rare event given your assumption about the value of so most likely the true value for is smaller than (which you want).


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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
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