BUAD2060_Formulas_ tables

BUAD2060_Formulas_ tables - BUAD 2060 Formulas Chapter 2...

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Unformatted text preview: BUAD 2060 Formulas Chapter 2 Relative Frequency: Frequency of the class n Chapter 3 Sample Mean: x Population Mean: Inter-quartile Range: IQR = Q3 – Q1 x Sample Variance: Population Variance: Population Standard Deviation: √ √ Sample Standard Deviation: Sample: Coefficient of Variation: ( ) x Z-score: Chebyshev’s Theorem: At least (1 - 1/z2) of the items in any data set will be within z standard deviations of the mean, where z is any value greater than 1. Population Covariance: xy (x i x )( yi y ) Sample Covariance: s xy N Population Correlation Coefficient: (x Sample Correlation Coefficient: i x )( yi y ) n 1 rxy s xy sx s y Chapter 4 Counting Rule for Multi-step Experiments: If an experiment consists of a sequence of k steps in which there are n1 possible results for the first step, n2 possible results for the second step, and so on, then the total number of experimental outcomes is given by (n1)(n2) . . . (nk). Counting Rules: Combinations: Permutations: Computing Probability Using the Complement Event: P(A) = 1 – P (Ac) Addition Law: Conditional Probability: Multiplication Law: | or | | or Multiplication Law for Independent Events: Chapter 5 Expected Value of a Discrete Random Variable: E(x) = µ Variance of a Discrete Random Variable: Var x σ2 Binomial Probability Function: 10 | ∑xf(x) ∑ x- µ) 2f(x) Expected Value of a Binomial Distribution: E(x) = µ = np σ2 = np(1-p) Variance for the Binomial Distribution: Var x Poisson Probability Function: Chapter 6 { Uniform Probability Density Function: Normal Probability Density Function: √ Converting to the Standard Normal Random Variable: z Chapter 7 Expected value of x : E(x ) = µ ¯ ¯ Standard Deviation of x (Standard Error): ¯ x √ ( x √ Expected value of : E( ) = p Standard Deviation of (Standard Error): ̂ √ √ √ Chapter 8 Interval Estimate of a Population Mean: ̄ ̄ √ ( Sample Size for an Interval Estimate of a Population Mean: Interval Estimate of a Population Proportion: ̂ √ ̂ √ ̂ Sample Size for an Interval Estimate of a Population Proportion: Values of Zα/2 For the Most Commonly Used Confidence Levels Confidence Level 90% 95% 99% α .10 .05 .01 α/2 .05 .025 .005 Zα/2 1.645 1.960 2.576 Chapter 21 Expected Value: ∑ Expected Value of Perfect Information: ⌊ Expected Value of Sample Information: ⌊ 11 ⌋ ⌋ √ 12 13 14 15 16 ...
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This note was uploaded on 02/22/2012 for the course BUAD 2060 taught by Professor Rao during the Spring '08 term at Toledo.

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