Question

We can say X and Y are dependent(not independent) random variables only when?(2 conditions)​

Answer 1

$\huge \text{Answer:}$

Two jointly continuous random variables X and Y are said to be independent if fX,Y (x,y) = fX(x)fY (y) for all x,y. It is easy to show that X and Y are independent iff any event for X and any event for Y are independent, i.e. for any measurable sets A and B P{(X ∈ A)∩(Y ∈ B)} = P(X ∈ A)P(Y ∈ B)