Stats Formula Card - Statistics 350 Help Card Summary Measures Normal Random Variables Sample Mean x1 x 2 x n x i = n n Sample Standard Deviation

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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: 0 ) 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: 0 ) | ( = 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 ) ( ) .( . σ i i i i p x p x X d s Binomial Random Variables k n k p p k n k X P = = ) 1 ( ) ( where )! ( ! ! k n k n k n = Mean np X E X = = ) ( Standard Deviation ) 1 ( ) .( . p np X d s X = = Normal Random Variables = = x z deviation standard mean n observatio score Percentile: + = z x If X has the ) , ( N distribution, then the variable = X Z has the ) 1 , 0 ( N
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This note was uploaded on 01/25/2012 for the course STATS 250 taught by Professor Gunderson during the Fall '10 term at University of Michigan.

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Stats Formula Card - Statistics 350 Help Card Summary Measures Normal Random Variables Sample Mean x1 x 2 x n x i = n n Sample Standard Deviation

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