Question

Find the area under the standard normal curve. Round your answer to four decimal places.

(a) Find the area under the standard normal curve to the right of z= −1.97.

(b) Find the area under the standard normal curve that lies between z= 1.26 and z=2.32.

(c) Find the area under the standard normal curve that lies outside the interval between z=0.46 and z=1.75.

(d) Find the area under the standard normal curve to the left of z= −0.94.

Answer 1

Finding the areas under a standard normal curve by direct integration is a very tedious process. So, generally a standard normal table also called as z-table is used for calculating the areas under the standard normal curve.

If z-score ≥ 0, a standard z-table is used

If z-score < 0, a negative z-table is used