Question

The time to failure in thousands of hours of an important piece of electronic equipment used in a manufactured DVD player has the density function.

\(f(x)=\begin{cases}2e^{-2x},x>0\\ 0,\,\,\,\,\, otherwise\end{cases}\)

Find the expected life of this piece of equipment.

Answer 1

Thus the expected life of the piece of equipment is 1/2 hrs (in thousands).