Illustration of Bayes Rule
The last couple of essays have provided insight into the Bayesian Decision Theory, showing how conditional probabilities are used to determine the probability of a particular event given that we know the prior probabilities. For this essay, we will be looking at a real world illustration where we can use Bayes Rule to solve a problem.
Example
Suppose we have an ECE 302 class with 100 students, and we want to distingush the students with African origin(Like myself), from the rest of class , and since we know that they generally have long names, we decide to use the number of letters in the name as a single feature to classify the students.