SOLVED:The "normal distribution" or "bell-shaped curve" is used to predict many things, including IQ's, incomes, and manufacturing errors. The area under this curve from 0 up to any number x is given by the integral (1)/(√(2 π)) ∫0^x e^-t^2 / 2 d t a. Find the Taylor series at 0 for e^-t^2 / 2. [Hint: Modify a known series.] b. Integrate this series from 0 to x and multiply by 0.4(. which approximates .(1)/(√(2 π))), obtaining a Taylor series for (1)/(√(2 π)) ∫0^x e^-t^2 / 2 d t c. Estimate (1)/

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