The Standard Deviation for a Random Variable with Probability Density $\sigma=\left[\int_{-\infty}^{\infty}(x-\mu)^{2} f(x) d x\right]^{1 / 2}$

question 65

Multiple Choice

The standard deviation for a random variable with probability density function f and mean µ 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) \(2.5\)
• C) 2
• D) \(3.3\)
• E) 5

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