Question

which statement about the graphs is true?
graph a
graph a is a valid density curve because the part of
the graph from 2 to 6 is below the horizontal axis.
graph a is not a valid density curve because the part
of the graph from 1 to 2 is above the horizontal axis.
graph b is not a valid density curve because part of
the horizontal axis has negative values.
graph b is a valid density curve because the curve is
above the horizontal axis, and the area under the
curve is 1.

Explanation:

Step1: Propiedades de una curva de densidad válida

Una curva de densidad válida debe estar por encima del eje horizontal y el área debajo de la curva debe ser igual a 1.

Step2: Analizar Graph A

Graph A no es válido porque parte de la gráfica (de 2 a 6) está por debajo del eje horizontal.

Step3: Analizar Graph B

Graph B es válido porque la curva está por encima del eje horizontal y el área debajo de la curva es 1.

Answer:

Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.