5. Let X be a continuous random variable with probability density function (PDF) 0.1 0 <...

  

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5. Let X be a continuous random variable with probability density function (PDF) 0.1 0 < x <1 0.2 1 < x < 2 f(x) = 0.4 2 < < 3 0.3 3 < < 4 0 otherwise. To answer the following questions, it may help to draw a graph of this PDF. (a) (6 points.) Complete F(y), the cumulative distribution function of X: ? y < 0 ? 0 < y < 1 ? 1y <2 F(y) = ? 2y <3 ? 3y <4 ? y 4 (b) (2 points.) Find the median of X. (c) (2 points.) Find the expected value of X. 5. Let X be a continuous random variable with probability density function (PDF) 0.1 0 < x <1 0.2 1 < x < 2 f(x) = 0.4 2 < < 3 0.3 3 < < 4 0 otherwise. To answer the following questions, it may help to draw a graph of this PDF. (a) (6 points.) Complete F(y), the cumulative distribution function of X: ? y < 0 ? 0 < y < 1 ? 1y <2 F(y) = ? 2y <3 ? 3y <4 ? y 4 (b) (2 points.) Find the median of X. (c) (2 points.) Find the expected value of X.

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Answer Solution a Completing the Cumulative Distribution Function CDF Fy The Cumulati... View the full answer