The attached image has two PDFs. The red one is $U(0,1)$. The blue one is more likely to be closer to 1 than to 0. Let's call the uniform distribution $A$ and the second distribution $B$. How do I find $P(B>A)$?
2026-04-04 07:04:00.1775286240
How do I compare these two statistical PDFs to see which is more likely to be bigger than the other?
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Figures from simulation.
At left, points illustrate the joint distribution of A and B. You want the proportion of points above the green diagonal.
At right, the histogram approximates the density function of B-A. You want the proportion of area in the histogram to the right of the vertical red line.