Question: [1] X is a continuous uniform (1,3) random variable while Y is a continuous uniform (2,5) random variable. If X and Y are independent, find

[1] X is a continuous uniform (1,3) random variable while Y is a continuous uniform (2,5) random variable. If X and Y are independent, find the probability P[Y>X].

[2] P and Q are both continuous uniform (0,2) random variables. If the correlation coefficient of P and Q is 0.2, find the variance of (P+Q).

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