Question: Let X have distribution function 0 if x < 0, F(x)=xif 0 x 2, 1 if x > 2. Let YX2, then find the

Let X have distribution function 0 if x < 0, F(x)=xif 0

Let X have distribution function 0 if x < 0, F(x)=xif 0 x 2, 1 if x > 2. Let YX2, then find the following: [10 marks] (a) P(X 1). [2 marks] (b) P(YX). [2 marks] (c) P(X 3Y). [2 marks] (d) P(X+Y). [2 marks] (e) the cumulative distribution function of Z= X. [2 marks]

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