Question: 6. Let X U(0, 1). Show that Y = 3+6X U(3, 9), that is, that it has the uniform in [3, 9] distribution

6. Let X ∼ U(0, 1). Show that Y = 3+6X ∼ U(3, 9), that is, that it has the uniform in [3, 9] distribution defined in Example 3.2-5. (Hint. Find the CDF of Y and show it has the form of the CDF found in the solution of Example 3.2-5.)

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