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?

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