If $X$ is an exponential random variable with the probability density function $f ( x ) = 23 e ^ { - 23 x } \text { on } [ 0 , \infty ),$ find $E ( X )$
A) $46$
B) $23$
C) $\frac { 1 } { 23 }$
D) $\frac { 2 } { 23 }$
E)1

Question

Quizplus · Accepted Answer

The expected value $E(X)$ of an exponential random variable with rate parameter $\lambda$ is given by $\frac{1}{\lambda}$. Here, $\lambda = 23$, so $E(X) = \frac{1}{23}$.

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