Random variable with a density function
Let Y be a random variable with a density function given by
f(y) = (3/2)y^2, -1≤y≤1,
0, elsewhere.
a) Find the density function of U1 = 3Y.
b) Find the density function of U2 = 3-Y.
c) Find the density function of U3 = Y^2.
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