IENG213_review_Chaps5_6_8_Nov07

IENG213_review_Chaps5_6_8_Nov07 - Click to edit Master...

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Unformatted text preview: Click to edit Master subtitle style IMSE 213: Probability and Statistics for Engineers Instructor: Steven E. Guffey, PhD, CIH 2002-2004 Review of Chapters 5, 6, 8 22 Uniform Distribution Simplest distribution: Equal probability distribution I.e., all events equally likely Examples: coin toss Random selection from a group 33 5.3 Binomial Distribution Bernoulli Process: Only 2 possible outcomes) Probability of success, p , remains constant from trial to trial The repeated trials are independent x n x q p x n p n x b- = ) , ; ( R = n p n 2 = n p 44 Example 5.5b Trials Success 0.1 0.2 0.25 0.3 0.4 15 2 0.8159 0.3980 0.2361 0.1268 0.0271 15 3 0.9444 0.6482 0.4613 0.2969 0.0905 15 4 0.9873 0.8358 0.6865 0.5155 0.2173 15 6 0.9997 0.9819 0.9434 0.8689 0.6098 15 8 1.0000 0.9992 0.9958 0.9848 0.9050 55 Hypergeometric Distribution Hypergeometric Experiment 1) Random sample of size n selected without replacement from N items 2) k of the N items may be classified as successes and N-k are classified as failure Hypergeometric distribution: h( x; N, n, k ) 66 Hypergeometric N nk = - -- = N k N nk N n N 1 1 2 77 Relationship to Binomial Distribution...
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This note was uploaded on 04/03/2009 for the course IENG 213 taught by Professor Staff during the Spring '08 term at WVU.

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IENG213_review_Chaps5_6_8_Nov07 - Click to edit Master...

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