Difference between revisions of "161-A1.1"
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(Created page with "Let's look at a few applications of the concept of information and entropy. == Student Grading == How much information can we get from a single grade? Note that the maximum i...") |
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* For Pass/Fail grades, the possible outcomes are: <math>\{P, F\}</math> with probabilities <math>\{\tfrac{1}{2}, \tfrac{1}{2}\}</math>. Thus, | * For Pass/Fail grades, the possible outcomes are: <math>\{P, F\}</math> with probabilities <math>\{\tfrac{1}{2}, \tfrac{1}{2}\}</math>. Thus, | ||
| − | {{NumBlk|::|<math>H\left(P\right)=\sum_{i=1}^n p_i\cdot \log_2\left(\frac{1}{p_i}\right) = \frac{1}{2}\cdot | + | {{NumBlk|::|<math>H\left(P\right)=\sum_{i=1}^n p_i\cdot \log_2\left(\frac{1}{p_i}\right) = \frac{1}{2}\cdot \log_2\left(2\right) + \frac{1}{2}\cdot \log_2\left(2\right) = 1\mathrm{bit}</math>|{{EquationRef|10}}}} |
Revision as of 23:06, 13 September 2020
Let's look at a few applications of the concept of information and entropy.
Student Grading
How much information can we get from a single grade? Note that the maximum information occurs when all the grades have equal probability.
- For Pass/Fail grades, the possible outcomes are: with probabilities . Thus,
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(10)
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