Question: Suppose the random variable X has a continuous, strictly increasing distribution function F. Show that F (X) is uniform on [0,1]. Hints. Show that F

Suppose the random variable X has a continuous, strictly increasing distribution function F. Show that F (X) is uniform on [0,1]. Hints. Show that F has a continuous, strictly increasing inverse F −1

. So F (X) < y if and only if X

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