mws_ind_int_txt_simpson13_examples

# mws_ind_int_txt_simpson13_examples - 07.03 Simpsons 1/3...

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07.03.1 07.03 Simpson’s 1/3 Rule for Integration-More Examples Industrial Engineering Example 1 A company advertises that every roll of toilet paper has at least 250 sheets. The probability that there are 250 or more sheets in the toilet paper is given by 250 ) 2 . 252 ( 3881 . 0 2 3515 . 0 ) 250 ( dy e y P y Approximating the above integral as 270 250 ) 2 . 252 ( 3881 . 0 2 3515 . 0 ) 250 ( dy e y P y a) Use Simpson’s 1/3 Rule to find the probability. b) Find the true error, t E , for part (a). c) Find the absolute relative true error, t , for part (a). Solution a) ) ( 2 4 ) ( 6 ) 250 ( b f b a f a f a b y P 250 a 270 b 260 2 b a 2 ) 2 . 252 ( 3881 . 0 3515 . 0 ) ( y e y f  2 2 . 252 250 3881 . 0 3515 . 0 250 e f 053721 . 0 2 2 . 252 270 3881 . 0 3515 . 0 270 e f 54 10 3888 . 1 2 2 . 252 260 3881 . 0 3515 . 0 260 e f 11 10 9560 . 1 ) ( 2 4 ) ( 6 ) 250 ( b f b a f a f a b y P   270 260 4 250 6 250 270 f f f

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07.03.2 Chapter 07.03 
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## This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida - Tampa.

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mws_ind_int_txt_simpson13_examples - 07.03 Simpsons 1/3...

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