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stat400lec7

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

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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

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

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