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X is a uniformly distributed continuous random variable from 0 to 3 Y is a random variable with the following distribution. a. Find the

X is a uniformly distributed continuous random variable from 0 to 3 Y is a random variable with the following distribution. a. Find the PDF of Z = X + Y. b. Find the variance of Z. y fy(y) = 0 y 2 3.5 0 otherwise

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