Chapter 13, Problem 41RE

(a)

To determine

To calculate: The probability that a randomly selected battery lasts $2$ years or less if the probability density function for the life expectancy of a battery is $f\left(x\right)=\{\begin{array}{cc}1.4e^{-1.4x}& x\ge 0\\ 0& x<0\end{array}$.

(b)

To determine

To calculate: The probability that a randomly selected battery lasts a year or less if the probability density function for the life expectancy of a battery is $f\left(x\right)=\{\begin{array}{cc}1.4e^{-1.4x}& x\ge 0\\ 0& x<0\end{array}$.