1. The problem statement, all variables and given/known data 1) Find the area under the curve for: a) P( 0 <= Z <= 2.07) b) P(-.64 <= Z < -.11) c) P( Z > -1.06) d) P(Z < -2.33) e) P(Z >= 4.61) 2) a) Evaluate integral from 0 to 1.24 of e^(-x^2/2) b) Evaluate the integral from -inf to inf of 6*e^(-x^2/2) 2. Relevant equations Z value table Power series expansion of e^x 3. The attempt at a solution 1) a) Fz(2.07) - Fz(0) = .9808 - .5 = .4808 b) Fz(-.64) - Fz(a) = .4247 - .2611 = .163 c) 1 - Fz(-1.06) = .85 d) .0104 e) .00002 Can someone explain to me the difference in calculating an area where Z < x vs. Z <= x. Do I just use the value closest to x and less than it on the table for Z < x? 2) a)I used the power series expansion and dervied each term upto n = 4 and got .6807 b) No clue how to do this. Polar coordinates?