Random variable X has a density function, f(x) such that

f(x) = { 1/2 0 < 1

1/4 + 3/4 1 3

0

Let Y = ln(X)

a) Sketch the region of f(x)

b) Sketch the function Y

c) Find the distribution, F(y) - from the distribution definition and NOT from f(y).

d) Use the F(y) from part (c) to find f(y)