Answer
True
Work Step by Step
For an exponential random variable
$f(x)=ae^{-ax}$ for $x$ in $[0,\infty)$,
the expected value and the standard deviation are always equal
$\mu=\frac{1}{a}$ and $\sigma=\frac{1}{a}$
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter 11 - Probability and Calculus - Chapter Review - Review Exercises - Page 601: 8
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