145 Normal curve approximation. A. K. Shah published a simple approximation for areas under the normal curve in The American Statistician (Feb. 1985). Shah showed that the area A under the standard normal curve between 0 and z is

b. Find the exact probabilities in part a .

c. Shah showed that the approximation has a maximum absolute error of .0052. Verify this for the approximations in part a .

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z(4.4 z)/10 for 0 z <2.2 A = .49 .50 for 2.2 < < 2.6 for z 2.6 a. Use Shah's approximation to find i. P(0