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**Unformatted text preview: ** The condi4onal density? • The condi4onal distribu4on func4on? • . f(y|x) is what you mul4ply f(x) by to get what you integrate to get probability Independence***** • fXY(x,y)=fX(x)fY(y) • P(X=x and Y=y) = P(X=x)P(Y=y) • If two phenomena have no sources of variability in common, would this deﬁni4on be “natural?” Expecta4on • Sum p(x) 4mes x • Integral f(x) 4mes x • The balancing point. • Sample mean needs the realiza4on of a sample • Expecta4on needs a theore4cal distribu4on. Proper4es of Expecta4on •
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• If X is a random variable And g is a func4on Then Y=g(X) is also a random variable What about the expecta4on of Y?...

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