MAT 2379 Lecture 3: 2379-chapter3

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 2379
• Professor: Maryam Sohrabi

Document Summary

If p(b) > 0, the conditional probability that a will occur given that b occurs is. Note: the key words that indicate that we are interested in calculated a conditional probability are: (cid:498)if(cid:499) and (cid:498)given that(cid:499). Consider again the example with a group of 100 german men of which 70 have blond hair, 77 have blue eyes and 55 have blond hair and blue eyes. Suppose that we select randomly a man in the group of people which have blond hair (i. e. suppose that we already know that the selected person has blond hair). Remark: we can show that the function p( |b) satisfies the three probability axioms. Thus, the consequences of the axioms also apply to condition probabilities. For the latter approach, we interpret p(a|b) as the proportion of outcomes from. A diagnostic test is a test given to detect the presence of some specific medical condition: pregnancy test, hiv test, down syndrome test (on pregnant women), etc.