515hont1formsheet

515hont1formsheet - Formula Sheet – Test 1 – STAT 515 2...

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Unformatted text preview: Formula Sheet – Test 1 – STAT 515 2 s= n i=1 ( Xi2 − n−1 Xi )2 n 1 k2 1− z= n i=1 x−x ¯ s or z= x−µ σ P (A ∪ B ) = P (A) + P (B ) − P (A ∩ B ) P (A|B ) = P (A ∩ B ) P (B ) P (A ∩ B ) = P (B )P (A|B ) or P (A ∩ B ) = P (A)P (B |A) P (B |A) = µ= P (A|B )P (B ) P (A|B )P (B ) + P (A|B c )P (B c ) xP (x), σ 2 = x2 P (x) − µ2 For X ∼ Binomial(n,p): P (x) = n! px q n−x , µ = np, σ 2 = npq x!(n − x)! For X ∼ Poisson(λ): P (x) = 1 λx e−λ x! ...
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This note was uploaded on 12/14/2011 for the course STAT 515 taught by Professor Zhao during the Spring '10 term at South Carolina.

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