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Day6_March_4 - The distribution of the amount of gravel(in...

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5/15/10 The distribution of the amount of gravel (in tons) sold by a construction company in a given week is a continuous random variable, X , with pdf given by: Determine the mean/expected value, variance and median for this distribution. ( 29 2 3 1 0 1 ( ) 2 0, otherwise x x f x - =
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5/15/10 Suppose X and Y are random variables with joint probability distribution given by f(x,y) . Marginal Distributions ( ) ( , ) g x f x y dy -∞ = ( ) ( , ) h x f x y dx -∞ =
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5/15/10 Suppose X and Y are random variables with joint probability distribution given by f(x,y) . The mean, or expected value, of the random variables X and Y are: ( ) ( , ) , ( ) ( , ) , continuous case. X Y E X x f x y dydx E Y y f x y dxdy μ μ -∞ -∞ -∞ -∞ = = = = ∫ ∫ ∫ ∫
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5/15/10 Suppose X and Y are random variables with joint continuous probability distribution given by f(x,y) . The mean, or expected value, of the random variables X and Y are: ( ) ( , ) , ( ) ( , ) , continuous case. X Y x y E X f x y dydx E Y f x y dxdy μ μ -∞ -∞ -∞ -∞ = = = = ( ) g x ( ) h y
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5/15/10 Suppose X and Y are random variables with joint
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