Find the distribution functions of (i) Z⁺ = max {0, Z}, (ii) X^- = min {0, Z}, (iii) |Z|, and (iv) ?Z in terms of the distribution function G of the random variable Z.

Question 2. (12 Marks in total, 3 marks per part). Find the distribution functions of (i) Z + = max{0, Z}, (ii) X = min{0, Z}, (iii) |Z |, and (iv) Z in terms of the distribution function G of the random variable Z