Question

Determine the area under the standard normal curve that lies to the right of (a).Z= -1.53, (b). Z= -1.08, (c), Z=1.66, and (d), Z= -1.09.

a. the area to the right of Z= -1.53 is
( round to the four decimal places as needed)
b. the area to the right of Z= -1.08 is
c. the area to the right of Z= 1.66 is
d. the area to the right of Z= -1.09 is

Answer 1

To find the area under the standard normal curve to the right of a given z-score, we use the z-table. The area to the right is 1 minus the area to the left.

Step-by-step explanation:

To determine the area under the standard normal curve that lies to the right of a given z-score, we need to use a z-table. The z-table provides the area to the left of a given z-score. To find the area to the right, we subtract the area to the left from 1.

a. For Z = -1.53, the area to the right is 1 - 0.0630 = 0.9370.

b. For Z = -1.08, the area to the right is 1 - 0.1401 = 0.8599.

c. For Z = 1.66, the area to the right is 1 - 0.9515 = 0.0485.

d. For Z = -1.09, the area to the right is 1 - 0.8589 = 0.1411.