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The Standard Deviation for a Random Variable with Probability Density ff

question 80

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The standard deviation for a random variable with probability density function ff and mean μ\mu is defined
σ=[(xμ) 2f(x) dx]1/2\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 15.15 .

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