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A random variable T is selected. T is uniform on [0, 1]. A second variable U is chosen that is uniform on [T,1]. Find a.

A random variable T is selected. T is uniform on [0, 1]. A second variable U is chosen that is uniform on [T,1].

Find a. P (U > 1/2)

b. E(U)

c. Var(U)

Please solve clearly

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