If X has distribution function F(x) of the continuous type such F(x) is strictly increasing when 0 < F(x) < 1 (some say continuity is enough?). Then Y = F(x) follows uniform over 0 & 1? Why is this true? I proved it but I'm struggling with the intuition. I even tried to use R but didn't get anywhere.
2026-03-27 02:39:11.1774579151
Why is Y uniform when Y is equal to the distribution function of X?
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