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Unformatted text preview: Final Exam Review 7:00-9:00pm, Dec 17; Willard 62 • You can bring two double-sided cheating sheets and a calculator with you in the exam. • The exam is comprehensive, consisting of five written problems. But Chapter 3-5 will be the emphasis. • Please go through all examples discussed in class and the homework problems. • The cumulative Binomial, Poisson and Standard Normal probability tables will be provided. Testing Points: For both Discrete and Continuous r.v.: • Joint and marginal probability mass function/density • Cumulative Distribution Function (CDF): F ( x ) = P ( X ≤ x ) = ( ∑ y : y ≤ x p ( y ) R x-∞ f ( y ) dy • Expected Value: E ( X ) = μ x = ( ∑ x ∈ D x · p ( x ) R ∞-∞ x · f ( x ) dx • Variance: V ( X ) = E [( X- μ ) 2 ] = E ( X 2 )- ( EX ) 2 • Moment Generating Function (MGF): M X ( t ) = E ( e tX ) = ( ∑ x ∈ D e tx · p ( x ) R ∞-∞ e tx · f ( x ) dx 1 • Conditional PMF/density p Y | X ( y | x ) = p ( x,y ) p X ( x ) f Y | X...
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- Spring '08
- Normal Distribution, Probability theory, marginal probability mass, Willard, (X,Y )