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1. [15 points] Consider two continuous random variables X and W. Suppose W is a uniform random variable on the interval [0.5, 1]. Conditioned on

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1. [15 points] Consider two continuous random variables X and W. Suppose W is a uniform random variable on the interval [0.5, 1]. Conditioned on W = w, X has the conditional distribution shown below: fxIw (x/W) W X 0 W Find fx(x), the (unconditional) pdf of X

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