Question: An essential function in statistics and the study of the normal distribution is the error function a. Compute the derivative of erf (x). b. Expand

An essential function in statistics and the study of the normal distribution is the error function

х 2 erf (x) dt. TT

a. Compute the derivative of erf (x).

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 (0.15) and erf (-0.09).

d. Estimate the error in the approximations of part (c).  

2 erf (x) dt. TT

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