Final answer:
To find the area under the standard normal curve that lies outside of the interval between z=−0.29 and z=2.26, subtract the areas to the left of these z-scores from 1.
Step-by-step explanation:
To find the area under the standard normal curve that lies outside of the interval between z=−0.29 and z=2.26, we need to find the areas to the left of these z-scores and subtract them from 1, which will give us the area outside the interval.
Using the z-table, the area to the left of z=-0.29 is approximately 0.3859, and the area to the left of z=2.26 is approximately 0.9884. Subtracting these areas from 1, we get 1 - 0.3859 - 0.9884 = 0.6257.
Therefore, the area outside the interval between z=−0.29 and z=2.26 is approximately 0.6257, or 62.57%.