Let $\displaystyle X_1,X_2,......,X_n$ be a random sample from an arbitrary and continuous distribution with cumulative distribution function F(x-$\displaystyle \theta$). Let $\displaystyle p_1 = P(X_1 > 0)$, $\displaystyle p_2 = P(X_1 + X_2> 0)$, $\displaystyle p_3 = P(X_1 + X_2> 0, X_1 > 0)$. Show that, when then the population is symmetric at zero and is continunous, $\displaystyle P_3$ = 3/8