Proportion of area under the curve

Question

What proportion of the area under the standard normal curve would you expect to be

a. between z = -1.2 and z = +.6?

b. below z = 1.4?

c. below z = -2.6?

d. above z = -2.0?

Answer 1

a. area between z=-1.2 and 0.6 is 0.7257-0.1151=0.6106, or 61.06% of the whole area under the normal curve.

b. area below z=1.4 is 0.9192, 91.92%.

c. area below z=-2.6 is 0.0047, 0.47%.

d. area above z=-2.0 is 1-0.0228=0.9772, 97.72%.