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X is a random variable, uniformly distributed on (0,1), and Y is a random variable uniformly distributed on (0, 2). X and Y are independent.

X is a random variable, uniformly distributed on (0,1), and Y is a random variable uniformly distributed on (0, 2).

X and Y are independent.

1. Find the probability density of X + Y , f_X+Y.

2. Find the CDF of X+Y, F_X+Y.

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