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 °C instead?
For this example, we are given the heights of five men and five women, as shown 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 a height of 172 cm. What gender is that person more likely to be, and with what probability?
