Question: The random variable X has a probability-density function uniform in the range 0 x 2 and zero elsewhere. The independent variable Y has

The random variable X has a probability-density function uniform in the range 0 ≤ x ≤ 2 and zero elsewhere. The independent variable Y has a density uniform in the range 1 ≤ y ≤ 5 and zero elsewhere. Find and plot the density of Z = X + Y.

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