formulas%20p1%20FINAL

formulas%20p1%20FINAL - Page 1 Statistics 350 Help Card...

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Unformatted text preview: Page 1 Statistics 350 Help Card Summary Measures Sample Mean n x n x x x x i n ∑ = + ⋅ ⋅ ⋅ + + = 2 1 Sample Standard Deviation 1 ) ( 2 − − = ∑ n x x s i 1 2 2 − − = ∑ n x n x i Probability Rules • Complement rule ) ( 1 ) ( A P A P C − = • Addition rule General: ) and ( ) ( ) ( ) or ( B A P B P A P B A P − + = For independent events: ) ( ) ( ) ( ) ( ) or ( B P A P B P A P B A P − + = For mutually exclusive events: ) ( ) ( ) or ( B P A P B A P + = • Multiplication rule General: ) | ( ) ( ) and ( A B P A P B A P = For independent events: ) ( ) ( ) and ( B P A P B A P = For mutually exclusive events: ) and ( = B A P • Conditional Probability General: ) ( ) and ( ) | ( B P B A P B A P = For independent events: ) ( ) | ( A P B A P = For mutually exclusive events: ) | ( = B A P Discrete Random Variables Mean k k i i p x p x p x p x X E + ⋅ ⋅ ⋅ + + = = = ∑ 2 2 1 1 ) ( μ Standard Deviation ( ) ∑ ∑ − = − = = 2 2 2 ) ( ) .( ....
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This note was uploaded on 09/26/2008 for the course STAT 350 taught by Professor Gunderson during the Winter '08 term at University of Michigan.

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