Question

Find the area under the standard normal curve to the right of z=−2.25. Round your answer to four decimal places, if necessary. Answer If you would like to look up the value in a tabie, select the table you want to view, then eather click the cell at the intersection of the row and column or use the arrow keys to find the sppropriate cet in the table and select it using the space key.

Answer 1

The area under the standard normal curve to the right of z = −2.25 is 0.9275

To find the area under the standard normal curve to the right of z=−2.25. Round your answer to four decimal places, if necessary, we proceed as follows

Using the standard normal curve the area under the curve from z = -2.25 to z = 0 is 0.4275.

Also, the area under the curve from z = 0 to z = +∞ is 0.5000

So, the area under the curve to the right of z = -2.25 is the area from z = -2.25 to z = +∞ which is P(-2.25 ≤ x ≤ + ∞) = P(-2.25 ≤ x ≤ 0) + P(0 ≤ x ≤ +∞) = 0.4275 + 0.5000 = 0.9275

So, the area under the standard normal curve to the right of z = −2.25 is 0.9275

Answer 2

The area under the standard normal curve to the right of z = -2.25 is approximately 0.0113.

Step-by-step explanation:

The area under the standard normal curve to the right of z = -2.25 can be found using the standard normal distribution table or calculator commands. To use the table, locate the absolute value of the z-score (in this case 2.25) in the table and find the corresponding area under the curve. For z = 2.25, the area under the curve to the left is 0.9887. The area to the right would be 1 - 0.9887 = 0.0113. Therefore, the area under the standard normal curve to the right of z = -2.25 is approximately 0.0113.