So far, we have been given a probability event that belonged to one of a finite number of classes, for example, a temperature was classified as cold, warm, or hot. But how would we calculate the posterior probability if we were given the temperature in degrees Celsius instead?
For this example, we are given five men and five women with their heights as in the following table:
Height in cm |
Gender |
180 |
Male |
174 |
Male |
184 |
Male |
168 |
Male |
178 |
Male |
170 |
Female |
164 |
Female |
155 |
Female |
162 |
Female |
166 |
Female |
172 |
? |
Suppose that the next person has the height 172cm. What gender is that person more likely to be and with what probability?
Analysis:
One approach to solving this problem could be to assign classes to the numerical values, for example, the people...