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Unformatted text preview: maximum size of inclusions in clean steels. C. W. Anderson, G. Shi, H. V. Atkinson, and C. M. Sellars Acta Materialia V olume 48, Issue 17 , November 2000, Pages 42354246 T. R. Willemain MAU Spring 06 6 Histogram is empirical estimate of PDF T. R. Willemain MAU Spring 06 7 T. R. Willemain MAU Spring 06 8 T. R. Willemain MAU Spring 06 9 T. R. Willemain MAU Spring 06 10 Expectation f(X) = pdf F(X) = cdf = integral of f() from  to X Expectations are shorthand summaries of distributions E[X] = Xf(X)dX= Var[X] = (X) 2 f(X)dX = 2 = E[(X ) 2 ] Stdev[X] = 2 = T. R. Willemain MAU Spring 06 11 using Minitab and Maple T. R. Willemain MAU Spring 06 12 T. R. Willemain MAU Spring 06 13 T. R. Willemain MAU Spring 06 14 T. R. Willemain MAU Spring 06 15 T. R. Willemain MAU Spring 06 16 T. R. Willemain MAU Spring 06 17 Check that have legitimate pdf that integrates to 1....
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