AppliedMultiple choice

$X$ is uniform on $[-1, 1]$ and $Y = X^2$ . Which statement is true?

A $X$ and $Y$ are correlated, because $Y$ is a function of $X$
B $X$ and $Y$ are uncorrelated but not independent
C $X$ and $Y$ are independent, because they are uncorrelated
DThe correlation cannot be computed because $Y$ is never negative

The worked solution is in Premium

The answer, the full working and the one idea to take away – for this and all 1,322 questions in the bank. Answer it in practice and your working is marked, with a known mistake named when you make one.

Start the 7-day free trial Practise it with Premium

Learn the method

Linearity of expectation

Reported in interviews at

SIG (Susquehanna), Two Sigma

XXX is uniform on [−1,1][-1, 1][−1,1] and Y=X2Y = X^2Y=X2. Which statement is true?

More probability questions

$X$ is uniform on $[-1, 1]$ and $Y = X^2$ . Which statement is true?