Question

Find the area under the standard normal curve to the left of z = -2.8 and to the right of z = 2.06. 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 = -2.8 and to the right of z = 2.06, use a z-table. The area to the left of z = -2.8 is approximately 0.0028 and the area to the left of z = 2.06 is approximately 0.9803. Subtract the two areas to find the final result.

Step-by-step explanation:

To find the area under the standard normal curve to the left of z = -2.8, you can use a z-table. Locate the z-score of -2.8 in the z-table and find the corresponding area to the left. The area to the left of z = -2.8 is approximately 0.0028.

To find the area under the standard normal curve to the right of z = 2.06, subtract the area to the left from 1. Locate z = 2.06 in the z-table and find the corresponding area to the left. The area to the left of z = 2.06 is approximately 0.9803. Subtracting this from 1 gives us a result of 0.0197.

Therefore, the area under the standard normal curve to the left of z = -2.8 and to the right of z = 2.06 is approximately 0.0028 + 0.0197 = 0.0225.