Question

Statistics

Posted 4 months ago

```
Consider the density curve below.
What is the height of the density curve?
height $=$ $\square$
```

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Answer from Sia

Posted 4 months ago

Solution by Steps

step 1

The area under a density curve must equal 1. Since the curve is a horizontal line from $x = 2$ to $x = 7$, the length of the interval is $7 - 2 = 5$

step 2

Let $h$ be the height of the density curve. The area under the curve is given by the product of the height and the length of the interval: $h \times 5 = 1$

step 3

Solving for $h$:
$h = \frac{1}{5}$

Answer

The height of the density curve is $\frac{1}{5}$.

Key Concept

The area under a density curve must equal 1.

Explanation

The height of the density curve can be found by dividing 1 by the length of the interval over which the curve is defined.

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