Question: 6.1 6.2 Let y be a random variable with probability density function given by 0 y 1, = {20 elsewhere. a b f(y) =
![[ f(y)=left{begin{array}{ll} 2(1-y), & 0 leq y leq 1 0, & text { elsewhere. } end{array}ight. ] a Find the dens](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2023/06/6479d92c41d6f_1685707050567.jpg)
6.1 6.2 Let y be a random variable with probability density function given by 0 y 1, = {20 elsewhere. a b f(y) = Find the density function of U = 2Y - 1. Find the density function of U = 1-2Y. C Find the density function of U3 = Y. d Find E(U), E(U), and E(U3) by using the derived density functions for these random variables. Find E(U), E (U), and E(U3) by the methods of Chapter 4. Let Y be a random variable with a density function given by (3/2) y, -1 y 1, elsewhere. e 2(1-y), f(y) = -{(3/2)y, 0, a Find the density function of U = 3Y. b Find the density function of U = 3 - Y. C Find the density function of U3 = y.
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