Suppose we wish to use the midpoint, trapezoid, or Simpson rule for computing normal probabilities, that is, b a (2π)−1/2 exp{−u2 /2} du for any values of a and b, where −3 ≤ a b ≤ 3. To obtain an...

Suppose we wish to use the midpoint, trapezoid, or Simpson rule for computing normal probabilities, that is, b a (2π)−1/2 exp{−u2 /2} du for any values of a and b, where −3 ≤ a b ≤ 3. To obtain an absolute error of less than .01, how many evaluations would be needed for each method?