Problem: Expected value

Problem

• $X$ is a continuous random variable with range $\left[ 0,1 \right]$ . We have

$$E\left( X \right)=\int_{0}^{1}{ xf\left( x \right)dx }$$

• Is the following true or false?

$$E\left( X \right)=\int_{-∞}^{∞}{ xf\left( x \right)dx }$$