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 $0$ is $0.5$ , as seen in the graph below:

Step by step solution

Given Information

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

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 $1$ and the curve is symmetric around $0$ .

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

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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

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Explanation

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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

Step by step solution

Given Information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

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