?

AP® Statistics

Free Version

Upgrade subject to access all content

Moderate

Properties of Independent Random Variables

APSTAT-Y15VQH

If two random variables $x$ and $y$ are independent, which of the following statements are true?

I. The correlation between $x$ and $y$ is $0$.
II. The mean of $x + y = $ the mean of $x + $ the mean of $ y$
III. The variance of the distribution of the difference between $x$ and $y$ equals the sum of the individual variances of $x$ and $y$.

A

I only.

B

II only.

C

III only.

D

I and II only.

E

I, II, and III.