Define a density curve and describe the two properties that

Define a density curve and describe the two properties that it must satisfy.

Solution

A density curve is the graph of a continuous probability distribution. It must satisfy the following properties:

Density Curve

1. The total area under the curve must equal 1.

2. Every point on the curve must have a vertical height that is 0 or greater.

(That is, the curve cannot fall below thex-axis.)

Density curve:

A histogram becomes a density curve if the scale is adjusted so that the total area of the bars is 1 sq. unit.