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Chapter 6: Q.6.51 (page 268)

Without consulting Table II, explain why the area under the standard normal curve that lies to the right of 0 is 0.5.

Short Answer

Expert verified

The area under the standard normal curve to the right of 0is 0.5, as seen in the graph below:

Step by step solution

01

Given Information

The area to the right of 0 under the standard normal curve is 0.5.

02

Explanation

The histogram of the distribution is substantially bell-shaped when the variable is approximately distributed normally, as seen below:

The area beneath the standard normal curve is 1and the curve is symmetric around 0.

As a result, the area under the standard normal curve to the right of 0is 0.5, as shown in the diagram below:

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