Wiemy, że
\(\displaystyle{ P(Z>0|X=0)=0}\)
\(\displaystyle{ P(X>0)=0.5}\)
\(\displaystyle{ P(Z>0|X>0)=0.5}\)
\(\displaystyle{ E(X|X>0 \wedge Z=0)=2}\)
\(\displaystyle{ E(X|X>0 \wedge Z>0)=4}\)
\(\displaystyle{ E(Z|Z>0)=4}\)
\(\displaystyle{ cov(X,Z|X>0 \wedge Z>0)=c}\)
Znajdź \(\displaystyle{ cov(X,Z)}\). Jak ugryźć to zadanie?