Q1. A series of messages is to be transferred between two computers over the Internet. The messages comprise just the characters A through H. Analysis has shown that the probability (relative frequency of occurrence) of each character is as follows: A and B= 0.25, C and D= 0.14, E,F,G, and H= 0.055 (a) By computing the entropy of the source, derive the minimum average number of bits per character.

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A: Here is the c++ code of the program. See below steps

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A: The answer has given below:

Q: 1. Let f(r) cosh(z) and a = 2. Let h= 0.01 and approximate f'(a) using forward backward and central…

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A: Step 1: Step 2: Step 3: Step 4:

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A: Answer: I have given answered in the handwritten format in brief explanation

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Q: R coding

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Q: Estimate the PDF of X = U₁U₂ where U₁ and U₂ are uniform random variables. (Assume U, and U₂ are…

A: Below I have provided an matlab program for the given question. Also, I have attached a screenshot…

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Q: Q8/F(A,B,C,D)= Σm(0,2,5,8,10,13)+Σd(1,7,12,15) G(A,B,C,D)= [m(6,7,11,12)+[d(0,2,3,8,13,15) Chose the…

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A: So answer of both questions are given below

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A: Here is the matlab code of the above problem. see below steps.

Q: The probability of event A occurring is 5/10. The probability of event B occurring is 5/10. What is…

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