ChE253K Spring09 Lecture12.4

# ChE253K Spring09 Lecture12.4 - How To Calculate Discrete...

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08Oct2007 1 ChE 253K Fall07 Lecture 11 How To Calculate Discrete Probabilities Lecture 12 -- Inferential Statistics

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08Oct2007 ChE 253K Fall07 Lecture 11 Outline Of This Lecture Probability Concepts (Also in Lecture 09) Sample spaces, experiments & outcomes Formulas & axioms of simple probability Probability by theory, experiment & guess Counting for Theoretical Probabilities Diagramming and choice multiplication Permutations and combinations Expectation Value & Decisions Bernoulli -- Binomial Probabilities
08Oct2007 3 ChE 253K Fall07 Lecture 11 Readings Re: This Lecture Definitions of probability, outcomes, events, etc Chapter 3 Section 3.1 & 3.3 Counting probabilities: Multiplication & Addition Permutations & Combo’s Chapter 3 Section 3.2, 3.4 & 3.5 Expectation Values Chapter 3 Section 3.8 Bernoulli Trials and Binomial Distribution Chapter 4, Sect. 4.2

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08Oct2007 ChE 253K Fall07 Lecture 11 O S Sample Space, Exp’ts & Outcomes An outcome is any distinct result of an experiment , i.e., any repeatable process having a range of outcomes Sample space (S) contains all possible out- comes seen when the experiment is repeated Finite or infinite, discrete or continuous. Events (A, B, etc.) are sets of out- comes; subsets of sample spaces. E
08Oct2007 ChE 253K Fall07 Lecture 11 One And Two Dice

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08Oct2007 ChE 253K Fall07 Lecture 11 Finite/Infinite & Discrete/Continuous Finite & Discrete Expt: Flip 1 coin. Out: H or T. Evnt: ?? Expt: Flip 2 coins. Out: HH HT TH TT. Evnt: ?? Expt: ?? Finite & Continuous Expt: Measure room T. Out: ?? Evnt: ?? Expt: ?? Infinite & Continuous Expt: Measure time or distance Sample Space
08Oct2007 ChE 253K Fall07 Lecture 11 Outline Of This Lecture Probability Concepts (Also in Lecture 09) Sample spaces, experiments & outcomes Formulas & axioms of simple probability Probability by theory, experiment & guess Counting for Theoretical Probabilities Diagramming and choice multiplication Permutations and combinations Expectation Value & Decisions Bernoulli -- Binomial Probabilities

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08Oct2007 ChE 253K Fall07 Lecture 11 Counting tools Inspection, experiment, etc Choice Multiplication (counting trees) Permutations (ordered) Combinations (unordered) ( 29 ( 29 ( 29 1 1 ! ! n r P n n n r n n r = - - + = - L ( 29 ( 29 ( 29 1 1 !
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