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Chapter 6: Q.6.52 (page 268)

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

Expert verified

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

Step by step solution

01

Given Information

Given in the question that,

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

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

02

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

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