For the Data Mining - Naïve Bayes Classifier for the case of "Numberless values for an attribute", the conditional probability is modeled with the normal distribution (see below).
Probability Density Function for the Normal Distribution
Suppose I have many values 0.3, 0.7, 0.6, 0.8..., I can calculate the mean and the standard deviation. For a new value x, I can make use of the formula (see above) to calculate the P(x), however, I need to find the associated probability for that P(x). The final classification can be done by choosing the label with the largest value of the product of these probabilities.
How can I calculate this probability?
Thank you very much!