Question

Find the area under the standard normal curve to the left of

z=−0.64 and to the right of z=1.74 . Round your answer to four
decimal places, if necessary.

Answer 1

To find the area under the standard normal curve to the left of z = -0.64 and to the right of z = 1.74, you can use the z-table to find the corresponding areas. The area between these z-scores is 0.5886, and the area to the right of z = 1.74 is 0.0409.

Step-by-step explanation:

To find the area under the standard normal curve to the left of z = -0.64, you can use the given information from the z-table.

The area to the left of z = -0.40 is 0.3446, and the area to the left of z = 1.5 is 0.9332.

To find the area between these two z-scores, subtract the smaller area from the larger area: 0.9332 - 0.3446

= 0.5886.

Similarly, to find the area to the right of z = 1.74, subtract the area to the left of z = 1.74 from 1.

Using the z-table, the area to the left of z = 1.74 is 0.9591. Subtracting this area from 1 gives: 1 - 0.9591

= 0.0409.