Can someone fill in these notes with all the formulas???
Show transcribed image text STAT-4013&53 Statistical MethodsI Lecture Notes (4.4-4.5) Conditional Probability and Bayes Bayes' Rule/Theorem Sometimes we have a the probability P(BLA) but we may find P(AIB) more interesting for a given situation. How do we find the desired conditional probability, P(AlB) if we only have P(A), P(B), and P(BIA)? We can make this a bit more difficult. What if we only know P(A) and P(BIA)? Bayes' Theorem (General Case) Suppose A1, A An are a set of mutually exclusive events that are exhaustive of a sample space and P(A) 0 for each Ai. Let B be any event where P(B)-0. Page 12 of 14
STAT-4013&53 Statistical MethodsI Lecture Notes (4.4-4.5) Conditional Probability and Bayes Bayes' Rule/Theorem Sometimes we have a the probability P(BLA) but we may find P(AIB) more interesting for a given situation. How do we find the desired conditional probability, P(AlB) if we only have P(A), P(B), and P(BIA)? We can make this a bit more difficult. What if we only know P(A) and P(BIA)? Bayes' Theorem (General Case) Suppose A1, A An are a set of mutually exclusive events that are exhaustive of a sample space and P(A) 0 for each Ai. Let B be any event where P(B)-0. Page 12 of 14
