Let Y be a random variable with probability density function given by
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a Find the density function of U1 = 2Y - 1.
b Find the density function of U2 = 1 - 2Y .
c Find the density function of U3 = Y 2.
d Find E(U1), E(U2), and E(U3) by using the derived density functions for these random variables.
e Find E(U1), E(U2), and E(U3) by the methods of Chapter 4.