Question

A curve has area $0.425$to the left of $4$and area $0.585$to the right of $4$. Could this curve be a density curve for some variable ? Explain your answer

Short answer

No, the curve having area $0.425$and $0.585$area to right & left of point $4$cannot be a density curve.

Step-by-step solution

Density Curve Concept 

Density Curve is a graphical representation of numerical distribution, having variable outcomes that are continuous (which can take non whole values), like weight = $54.3$Kgs

Density Curve Probability 

It shows likelihood ( probability) of continuous variable' outcomes. As total probability = $1$total area under the curve is also equal to$1$

Percentage of total observations that lie within a range is equal to percentage of area under the curve between the corresponding values.

Explanation  

As the area under the curve to the right and left of $4=0.585$and ; so total area is = $0.585+0.425=1.01$

Since total area under the curve = $1.01$, which is not equal to $1$. Hence, it can't be a density curve for a variable.