Let T be a right triangle with vertices at (0,0), (0,4), and (4 4). We pick a random point in T and let X be its y-component. (a) Show that the cumulative distribution function for X is F(x) = , for 0 < x< 4. (b) Compute the probability density function for X. (c) What is the probability that X is between 1 and 2?

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