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Chapter 2: Q 4.1. (page 103)

Explain why this is a legitimate density curve.

Short Answer

Expert verified

Since, the curve is above the horizontal axis and the total area under the curve is 1, we have a legitimate density curve.

Step by step solution

01

Step 1. Given

02

Step 2. Concept

A curve is based on a density curve.

03

Step 3. Explanation

A density curve has the same area underneath it as the horizontal axis and is always on or above it. A density curve depicts the overall pattern of distribution. The proportion of all observations that fall within an interval of values on the horizontal axis is represented by the area under the curve and above that interval. As a result, we obtain a valid density curve.

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Most popular questions from this chapter

Runners’ heart rates The figure below is a Normal probability plot of the heart rates of 200male runners after six minutes of exercise on a treadmill.14The distribution is close to Normal. How can you see this? Describe the nature of the small deviations from Normality that are visible in the plot.

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Density curves Sketch a density curve that might describe a distribution that is symmetric but has two peaks.
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