Given X ~ U[a,b] has a uniform distribution on the interval [a,b], and given P(X ≺ P( X ≻ (a+b)/2 )) = P(X ≻ P( X ≻ (3a+b)/4 )) = (b-a)/2, we solve to find the values of a and b.
00:00 Uniform distribution
01:27 Calculating probabilities
04:24 Solving for a & b