LectureSept9

LectureSept9 - BME 423 Lecture Notes Sept 9 2009 Some Basic...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
1 Some Basic Probability Summary Discrete RV Summary Continuous RV • Expected Values Standard Normal Random Variable • Definition • Probability Calculations Normal Random Variable • Relation to Standard Normal Random Variable • Probability Calculations BME 423 Lecture Notes - Sept. 9, 2009 Probability Function (pf) f(x) = Prob(X=x)=Pr(X=x) x f(x) 12345 k xxxxx x 12 () , , , () 0 e l s ew h e r e ik f xx x x fx = ( ) : () P r o b ( ) yy x Fx X x f y =≤ = Distribution Function (df) x F(x) k x Discrete Random Variable X •••
Background image of page 1

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

View Full DocumentRight Arrow Icon
2 Probability Density Function (pdf) Distribution Function (df) Continuous Random Variable X Prob( ) ( ) b a aXb f x d x <≤= f ( x ) 0 x 0 ab () F x x Fx f xdx −∞ = x () P r o b ( ) P r ( ) X x =< = < r ( ) Other Relationships Involving df Recall: 12 2 1 Pr( ) 1 ( ) ) ( ) ( ) Xx F x xX x F x F x >= <≤ = x −∞ = F x f ( x ) x 0 0 Figures to help illustrate these ideas
Background image of page 2
3 Expected Value Let X denote a continuous RV with Define a function of X as h(x) ~( ) Xf x [] ( ) EX x f xdx μ −∞ = [() ] () () Ehx hx f xdx −∞ =
Background image of page 3

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

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/13/2009 for the course BME 423 at USC.

Page1 / 8

LectureSept9 - BME 423 Lecture Notes Sept 9 2009 Some Basic...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online