what would the height need to be for this curve to be a density curve?\n-1/6\n1/6\n1/5\n1

Explanation:

Step1: Recall density - curve property

The area under a density curve is equal to 1. For a rectangular density - curve, the area formula is $A = base\times height$.

Step2: Calculate the base length

The base of the rectangle extends from $x=-5$ to $x = 1$. So, the base length $b=1-(-5)=6$.

Step3: Solve for the height

Let the height be $h$. Since $A = 1$ and $A=b\times h$, we have $1 = 6\times h$. Solving for $h$ gives $h=\frac{1}{6}$.

Answer:

B. $\frac{1}{6}$