Find the area under the standard normal distribution curve 1. Between z = 0 and z = 1.77 2. Between z = 0 and z = 0.75

Question

Normal distribution: please show work / formulas. Find the area under the standard normal distribution curve

1. Between z = 0 and z = 1.77
2. To the right of z = -0.29
3.To the left of  z = -0.75 8

Answer 1

1. z=0 corresponds to 0.5 or 50%. z=1.77 corresponds to 0.9616 so the area between is 0.4616. z=0.75 corresponds to 0.7734, so the area between this and z=0 is 0.2734.
2. z=-0.29 is the same as 1-N(0.29)=1-0.6141=0.3859. This is the area to the left, so the area to the right is 0.6141, the same as the area to the left of z=0.29.
3. z=0.75 corresponds to 0.7734 so z=-0.75 corresponds to 1-0.7734=0.2266, the are to the left of z=-0.75.