Computer Science · Probability and Information Theory
Let discrete random variables X and Y have probability distributions: X = {1, 2, 3, 4, 5} with P(X) = {0.1, 0.2, 0.4, 0.2, 0.1} Y = {10, 20, 30, 40, 50} with P(Y) = {0.1, 0.2, 0.4, 0.2, 0.1} Which statement correctly compares their Entropy and Coefficient of Variation?
- 1Entropy of X and Y are not same; Coefficient of Variations are not same
- 2Entropy of X and Y are same; Coefficient of Variations are not same✓
- 3Entropy of X and Y are not same; Coefficient of Variations are same
- 4Entropy of X and Y are same; Coefficient of Variations are same
Correct answer
Entropy of X and Y are same; Coefficient of Variations are not same
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