$$ ( ≥\frac12| ≥\frac12) $$
¿is it correct using the intervals 1/2 to infinity?
I don´t get it
2026-03-25 10:58:36.1774436316
Probabilities of bivariates
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$$P[X>\frac{1}{2}|Y>\frac{1}{2}]=\frac{\int_{\frac{1}{2}}^{2}dx \int_{\frac{1}{2}}^{1}\frac{3}{2}y^2 dy}{\int_{\frac{1}{2}}^{1}3y^2dy}=\int_{\frac{1}{2}}^2\frac{1}{2} dx=P[X>\frac{1}{2}]=0.75$$
This because X,Y are independent