stat400lec7 - Statistics 400 Lecture 7 2.1 Random variables...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Ping Ma Lecture 7 Fall 2006 Statistics 400 Lecture 7 2.1 Random variables of the discrete type Review: Random Variable: (R.V.) is a variable whose value is a numerical outcome of a random phenomenon. Notation : X, Y, Z Discrete Random Variable: 1 A discrete R.V. has a countable number of possible outcomes 2 These outcomes have a individual probabilities attached to them P(X= x )=f( x ) probability mass function Probability Distribution: 1 Lists the values of X 2 Lists their respective probabilities (p.m.f) Value of X x 1 x 2 x 3 x 4 x 5 x k Probability mass function : f(x) f(x 1 ) f(x 2 ) f(x 3 ) f(x 4 ) f(x 5 ) f(x k ) Properties of p.m.f f(x) : (a) f(x)>0; ( b ) = 1 ) ( x f ; ( c ) P(X=x)=f(x). Bar graph
Background image of page 1

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

View Full DocumentRight Arrow Icon
Ping Ma Lecture 7 Fall 2006 Example: A recent study of social mobility in England looked at social classes of reached by sons of lower class fathers. Let X be the social class of a son with father’s class being 1. The following probability distribution is observed.
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.
  • Spring '08
  • AMJAD
  • Probability distribution, Probability theory, Discrete probability distribution, Probability mass function

Page1 / 4

stat400lec7 - Statistics 400 Lecture 7 2.1 Random variables...

This preview shows document pages 1 - 3. Sign up to view the full document.

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