Question

Find the area to the left of z = 0.24 and to the right of z = 2.61 under the standard normal curve.

A) To the left of z = 0.24: 0.5948; To the right of z = 2.61: 0.0043
B) To the left of z = 0.24: 0.4062; To the right of z = 2.61: 0.9957
C) To the left of z = 0.24: 0.5938; To the right of z = 2.61: 0.0043
D) To the left of z = 0.24: 0.4052; To the right of z = 2.61: 0.9947

Answer 1

Using a z-table, the area under the standard normal curve to the left of z = 0.24 is found to be 0.5948, and the area to the right of z = 2.61 is found to be 0.0043.

Step-by-step explanation:

The question deals with finding the area under the standard normal curve for specified z-scores. Using a z-table or similar statistical tools, typically found in a statistics textbook or online, you can find the area to the left of a z-score. Knowing that the total area under the curve is 1, the area to the right can be identified by subtracting the area to the left from 1.

For z = 0.24, if we look up the z-table, we typically find that the area to the left under the curve is 0.5948. Consequently, the area to the right of z = 0.24 would be 1 - 0.5948 = 0.4052. Similarly, for z = 2.61, the z-table usually shows that the area to the left is quite close to 1, so to be specific, if the area to the left is 0.9957, the area to the right would be 1 - 0.9957 = 0.0043.