The standard deviation for a random variable with probability density function $f$ and mean $\mu$ is defined
$$\sigma = \left[ \int _ { - \infty } ^ { \infty } ( x - \mu ) ^ { 2 } f ( x ) d x \right] ^ { 1 / 2 }$$
Find the standard deviation for an exponential density function with mean $10 .$
A) 10
B) 2
C) 5
D) $3.3$
E) $2.5$

Question

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The Answer of The standard deviation for a random variable with probability density function $f$ and mean $\mu$ is defined
$$\sigma = \left[ \int _ { - \infty } ^ { \infty } ( x - \mu ) ^ { 2 } f ( x ) d x \right] ^ { 1 / 2 }$$
Find the standard deviation for an exponential density function with mean $10 .$
A) 10
B) 2
C) 5
D) $3.3$
E) $2.5$

The Standard Deviation for a Random Variable with Probability Density fff

The Standard Deviation for a Random Variable with Probability Density $f$