A find the density function ofnbspu1 2ynbsp- 1 b find the

Question

Let Y be a random variable with probability density function given by

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.