Suppose the joint PDF of X,Y is $f(x,y)=1/40$ and $0 < x < 5$ and $0 < y < 8$.
How to calculate $\Pr[\max(X,Y)<4]$?
2026-03-27 02:39:43.1774579183
How to calculate $\Pr[\max(X,Y)<4]$?
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Hint: $$ P(\max(X,Y)<4)=P(X<4,Y<4)=P((X,Y)\in (-\infty,4)\times(-\infty,4)). $$