STAT
Stat318Midterm 2 Review

# Stat318Midterm 2 Review - Midterm Exam 2 Review 1:25-2:15pm...

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Midterm Exam 2 Review 1:25-2:15pm, Nov,10; Room 60 Willard You can bring a double-sided cheating sheet and a calculator with you in the exam. The exam covers all sections in Chapter3 and consists of five written problems. Please go through all examples discussed in class and the homework problems. Be familiar with the derivative computation in calculus. The cumulative Binomial and Poisson probability tables will be pro- vided. Concepts: Probability Distribution Function (PDF)/ Probability Mass Function (PMF): P ( X = x ) Cumulative Distribution Function (CDF): F ( x ) = P ( X x ) Expected Value: E ( X ) = μ x = x D x · p ( x ) Variance: V ( X ) = D ( x - μ ) 2 · p ( x ) = E [( X - μ ) 2 ] Moment Generating Function (MGF): M X ( t ) = E ( e tX ) = x D e tx p ( x ) Propositions and Theories P ( a X b ) = F ( b ) - F ( a - 1) P ( X = a ) = F ( a ) - F ( a - 1) E [ h ( x )] = D h ( x ) · p ( x ) In particular, E ( aX + b ) = a · E ( X ) + b A shortcut formula for variance: V ( X ) = E ( X 2 ) - [ E ( X )] 2 1

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V ( aX + b ) = σ 2 aX + b = a 2 · σ 2 x E ( X r ) = M ( r ) X (0) Let Y = aX + b . Then
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• Spring '08
• staff
• Normal Distribution, Probability theory, #, Cumulative distribution function, 1-p p2

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