STAT
Practice Midterm 1 Questions SP10

• Notes
• 7

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Stat 133 Formula Sheet - - = 2 ) ( 1 1 x x n s i - - - = y i x i s y y s x x n r 1 1 y = a + bx x y s s r b = x b y a - = = i i x p x μ x bx a b a μ μ + = + y x y x μ μ μ + = + - = i x i x p x 2 2 ) ( μ σ x bx a b 2 2 2 σ σ = + y x y x y x σ ρσ σ σ σ 2 2 2 2 + + = + y x y x y x σ ρσ σ σ σ 2 2 2 2 - + = - Binomial Distribution k n k p p k n k X P - - = = ) 1 ( ) ( Binomial Distribution Mean = np Variance = np(1-p) σ μ - = x z n x z σ μ 0 - = n z x σ × ± * 2 * = m z n σ Probability Rules P(A or B) = P(A)+P(B)-P(A and B) P(A c )=1-P(A) ) ( ) ( ) | ( B P B and A P B A P = P(A|B)=P(A) if and only if A and B are independent P(A and B) = P(A)P(B|A) = P(B)P(A|B) = P(B and A) P(A c |B) + P(A|B) = 1 Bayes Theorem: ) ( ) | ( ) ( ) | ( ) ( ) | ( ) | ( c c A P A B P A P A B P A P A B P B A P + = 7
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