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A source generates binary digits 0, 1, with probabilities P(0) -0.3 and P(1) -0.7. Calculate the entropy of the signal.

A source generates binary digits 0, 1, with probabilities P(0) -0.3 and P(1) -0.7. Calculate the entropy of the signal.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A source generates binary digits 0, 1, with probabilities P(0) = 0.3 and P(1) -0.7. Calculate the entropy of the signal. O a. 0.8 bits O b. Obits OC. 0.881 bits O d. 0.3 bits The lifespans of six components made by machines A 92 86 61 70 58 65 is 71? O a. false O b. true for the binary system if the entropy -0.7219, so the probabilities are: O a. 0.3. O b. 0.2 and 0.8 O c. 0.2 and 0.6 O d. 0.3 and 0.7
Transcribed Image Text:A source generates binary digits 0, 1, with probabilities P(0) = 0.3 and P(1) -0.7. Calculate the entropy of the signal. O a. 0.8 bits O b. Obits OC. 0.881 bits O d. 0.3 bits The lifespans of six components made by machines A 92 86 61 70 58 65 is 71? O a. false O b. true for the binary system if the entropy -0.7219, so the probabilities are: O a. 0.3. O b. 0.2 and 0.8 O c. 0.2 and 0.6 O d. 0.3 and 0.7
The random variables X and Y have variances 0.2 and 0.5 respectively. Let Z= 5X-2Y. The variance of Z is? O a. 5 O b. 3 O c. 4 O d. 7 A source generates_ve characters A, B, C, D and E with respective probabilities of 0.1, 0.15. 0.2, 0.25 and 0.3. Calculate the information associated with the character B. O a. 2.7370 O b. 0.0740 O c. 2.1501 O d. 2.2282
Transcribed Image Text:The random variables X and Y have variances 0.2 and 0.5 respectively. Let Z= 5X-2Y. The variance of Z is? O a. 5 O b. 3 O c. 4 O d. 7 A source generates_ve characters A, B, C, D and E with respective probabilities of 0.1, 0.15. 0.2, 0.25 and 0.3. Calculate the information associated with the character B. O a. 2.7370 O b. 0.0740 O c. 2.1501 O d. 2.2282
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