Question: please! The continuous random variables X, Y are independently uniformly distributed on the interval [0, 1]. Let Z = X + Y. By considering (X,

please!

The continuous random variables X, Y are independently uniformly distributed on the interval [0, 1]. Let Z = X + Y. By considering (X, Y) as a uniformly distributed point in the unit square (or othenrvise) calculate the cumulative density function FZ(Z) and the probability density function f Z (2). () S (b) For0 3 z S 1 we have fZ(z) = (c)For1$ 2 S 2we have fZ(z) =

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