Consider the two statements. S 1 : There exist random variables X and Y such that (E[X - E(X)) (Y - E(Y))]) 2 > Var[X] Var[Y] S 2 : For all random variables X and Y, Cov[X, Y] = E [|X - E[X]| |Y - E[Y]|] Which one of the following choices is correct?

Correct Answer is : Both S1 and S2 are false.

GATE Computer Science (CS) 2021 Shift 1 Solved Paper

Question : 45 of 65

Marks: +1, -0

Consider the two statements.
S₁ : There exist random variables X and Y such that
(E[X - E(X)) (Y - E(Y))])² > Var[X] Var[Y]
S₂ : For all random variables X and Y,
Cov[X, Y] = E [|X - E[X]| |Y - E[Y]|]
Which one of the following choices is correct?

S₁ is false, but S₂ is true.
S₁ is true, but S₂ is false.
Both S₁ and S₂ are true.
Both S₁ and S₂ are false.

Validate

Go to Question:

Prev Question

Next Question