15.2.26 One dimensional random variables and their characteristics

Problem: The continuous random variable \( \xi \) is equally distributed on the segment \( [-5,1] \). It's known that: a) the random variable \( \tau_{1}=4-\xi \), b) the random variable \( \tau_{2}=|\xi| \). Find: 1. The distribution density of \( f_{\tau}(z) \) for each random variable \( \tau_{1} \) and \( \tau_{2} \). 2. Calculate the expected value and the dispersion \( E\left[\tau_{i}\right], V\left[\tau_{i}\right], i=1,2 \).