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Finding Mean Variance and Standard Deviation In Exercises 1 12 use the given probability density...

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Calculus

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Finding Mean Variance and Standard Deviation In Exercises 1 12 use the given probability density function over the indicated interval to find the a mean b variance and c standard deviation of the random variable d Then sketch the graph of the density function and locate the mean on the graph See Examples 1 2 and 3 1 f x 3 0 3 2 f x 1 0 4 3 f t 4 f x 18 x 0 6 0 4 4 5 f x 42 1 4 6 f x 2x 2 0 1 7 f x 1x 0 2 8 f x x 0 4 9 f x 6x 1x 0 1 10 f x x 4 x 0 4 11 f x 4 x 0 4 12 f x 9 x 0 9 18

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