THE STANDARD NORMAL CURVE Worksheet For each of the problems below, be sure to SKETCH the standard normal curve and SHADE IN the area you are being asked to find. See the following example: Find the area under the standard normal curve that lies between z = -1.65 and z = 1.65 From the table in the text, or using the Normal83 program, the area = 2(.4505) = .901 The related probability statement is P(-1.65 2. Find the AREA under the standard normal curve: a) to the left of z=-0.40 b) for z <0.40 c) to the right of z = 1.65 d) to the right of z=-1.65 SKETCH: e) outside the interval from z = -2.00 to z = 2.00 3. Solve for z in each of the following (I have shaded in the areas, you find the z value that gives the correct area.): .8064 a) Area = 80.64% z= 9115 b) Area 44.52% c) Area = 17.11% 9918 d) Area 99.18% e) Area 91.15% = z= z= Z= tobel .0404 N= -2 f) Combined area = = 4.04% Z=