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Unformatted text preview: Y 2 Y σ ∫ = 3 2 dx (x) X f 3 x Y m and σ . ∫ − = Problem 3 Consider two discrete random variables and , with the joint probability mass function shown in the figure below. (Notice that the distribution is concentrated at four points, with equal probability 0.25 at each point). 1 X 2 X X 2 1 1 0 1 1 0.25 0.25 0.25 0.25 X 1 (a) Are and independent? Briefly explain why or why not. 1 X 2 X (b) Find the mean values and , the variances and , and the correlation coefficient ρ between and 1 m 2 m 2 1 σ 2 2 σ 1 X 2 X ....
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 Spring '05
 DanieleVeneziano
 Probability theory, probability density function

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