Solved: Error function An essential function in statistics
Chapter 9, Problem 80(choose chapter or problem)
Error function An essential function in statistics and the study of the normal distribution is the error function erf 1x2 = 2 1pL x 0 e-t2 dt. a. Compute the derivative of erf 1x2. b. Expand e-t2 in a Maclaurin series; then integrate to find the first four nonzero terms of the Maclaurin series for erf. c. Use the polynomial in part (b) to approximate erf 10.152 and erf 1-0.092. d. Estimate the error in the approximations of part (c).
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