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Property of uniform random variable

If X and Y are both independent U[0,1] random variables, find the probability that max (X,Y)>2min(X,Y)

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Since X & Y are independent U[0,1], the distribution function of X & Y is
F(x) = x , 0<x<1 and F(y) = y , 0<y<1.
Let Z = Max(X,Y) and W = Min(X,Y).
Let G(z), ...

Solution Summary

Solution describes a property of two independent uniform random variables.