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Math1313-Test4Formulas-S10 - a = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛...

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) | ( ) ( ) ( ) ( ) ( ) | ( ) ( ) ( ) ( ) ( B A P B P B A P B P B A P B A P F E P F P E P F E P = = + = I I I U Given A and B are independent ) ( ) ( ) ( B P A P B A P = I n n p x p x p x X E + + + = ... ) ( 2 2 1 1 ) ( ) ( c E P E P ) ( ) ( E P E P c If the odds in favor of an event E occurring are a to b , then the probability of E occurring is b a a E P + = ) ( 2 2 2 2 2 1 1 ) ( ... ) ( ) ( ) ( μ μ μ + + + = n n x p x p x p X Var ) ( X Var = σ . 1 1 ) ( 2 k k X k P + σ μ σ μ x n x q p x n C x X P = = ) , ( ) ( ) ( ) ( X Var npq X Var np = = = σ μ P( X < b ) =
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Unformatted text preview: a ) = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − > a Z P P( a < X < b ) = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − < < − b Z a P [ ] ) ( 1 2 1 ) ( z Z z P z Z P < < − + = <...
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