Question

According to Table II, the area under the standard normal curve that lies to the left of $-2.08$ is $0.0188$. Without further consulting Table II, determine the area under the standard normal curve that lies to the right of $2.08$. Explain your reasoning.

Short answer

To the right of $-2.08$, the area under the standard normal curve is $0.0188.$

Step-by-step solution

Given Information

Given in the question that,

The area under the standard normal curve to the left of $-2.08$is $0.0188$.

We have to determine the area under the normal curve that lies to the right of localid="1650968129888" $2.08$

Explanation

The shape of a normal distribution is totally symmetrical. This means that the distribution curve can be split in half in the middle, yielding two equal halves. When one-half of the observations fall on each side of the curve, the curve takes on a symmetric shape.

The area under the normal curve to the right of $2.08$will equal the area under the normal curve to the left of $-2.08$due to the symmetry property of the normal curve.