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Find conditional density function f(x|E) for the experiment of a number selected at random from the interval [0,1], given E, where E is the event that x > 4.

(a) If 0 <= x < 1/4, f(x|E)

(b) If 1/4 <= x < 1, f(x|E)

Please note on parts (a.) and (b.) that it is x greater than or equal to leftmost value to less than rightmost value.

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