Probability+Calculus

Probability Calculus (GWU EMSE-271)
InIndex | Topics (Logical Lectures) | Lectures | Problems | Readings | Nomenclature | Concepts

( Session 1 )

For all events, A member Omega, 0 <= Pr(A) <= 1. (EMSE 271, Fall 2008, Slide 13) Compliment Rule: Pr(not A) = 1 - Pr(A) (Slide 13) Additive Law: Pr(A U B) = Pr(A) + Pr(B) - Pr (A ^ B) (Slide 13) (more --> EMSE 280) - - - Inclusion-Exclusion Principle (Slide 14) Multiplicative Law: Pr(A ^ B) = Pr (A | B) Pr(B) = Pr(B)|A) Pr(A) (Slide 15) (more --> EMSE 280) Conditional Probability (Slide 15-17) (more --> EMSE 280) --- "**Informally:** Conditioning an event coincides with reducing the total event to the conditioning event." EMSE 271, Fall 2008 Law of Total Probabililty (for collectively exhaustive and mutually exclusive event): (Slide 18) (more --> EMSE 280) Bayes Law (Conditonal Probability) (Slides 19-26) (more --> EMSE 280 []) -- ( **See links on Bayes, etc. on the** Probability Calculations **page** ) -- Probability Calculation Table for Bayes Calculations; (See Homework 1, Problem 2) -- Challenge, for me, seems to be (not creating the spreadsheet) figuring out what values go where in spreadsheet. Or, when to use. Got some words from Dr. Mazzuchi. Put some words on the Homework 1 page. Still want more. What?


 * Sources**
 * EMSE 271, Fall 2009
 * EMSE 280, Spring 2008