SIE 305 Test 1 Notesheet

# SIE 305 Test 1 Notesheet - Convergence of Geometric Series...

This preview shows pages 1–2. Sign up to view the full content.

Chapter 1 Introduction Stuff ( 29 ( 29 ! ! ! ! ! r n r n r n C r n n P r n r n - = = - = Permutations of Indistinguishable Objects ! ! ! ! 2 1 k n n n n Chapter 2 Probability Laws General Addition Rule [ ] [ ] [ ] [ ] 2 1 2 1 2 1 A A P A P A P A A P + + = Conditional Probability [ ] [ ] [ ] 1 2 1 1 2 | A P A A P A A P = Independent Events (events A 1 and A 2 are independent if and only if the below condition is met) [ ] [ ] [ ] 2 1 2 1 A P A P A A P = [ ] [ ] [ ] [ ] [ ] [ ] 0 if | and 0 if | 2 1 2 1 1 2 1 2 = = A P A P A A P A P A P A A P Bayes’ Theorem [ ] [ ] [ ] [ ] [ ] = = n i j j j j j A P A B P A P A B P B A P 1 | | | Events A i are mutually exclusive. P[B] is not zero. Mutually Exclusive – Two events A 1 and A 2 are mutually exclusive if and only if A 1 ∩ A 2 = Ø. Events A 1 , A 2 , A 3 ,… are mutually exclusive if and only if A i ∩ A j = Ø for i ≠ j.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Chapter 2 Probability Laws
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Convergence of Geometric Series 1 1 ) 1 ( terms, first For the 1 | | provided 1 to converges series The series geometric a be Let 1 1 1 1 ≠--= <-∑ ∑ =-∞ =-r r r a ar n r r a ar n n k k k k Chapter 3 Discrete Distribution Expected Value, Var, Std Dev [ ] ( 29 [ ] [ ] [ ] ( 29 X X E X E X E X x xf X E Var Deviation Standard Var ) ( 2 2 2 2 2 x all =-=-= = = = ∑ σ μ Moment Generating Function [ ] [ ] k t k X k t X X E dt t m d X e E t m = = = ) ( ) (...
View Full Document

## This note was uploaded on 04/02/2008 for the course SIE 305 taught by Professor Leeming during the Spring '07 term at Arizona.

### Page1 / 2

SIE 305 Test 1 Notesheet - Convergence of Geometric Series...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online