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The Relationship Between Tossing a Coin and Buying a Large Coffee

APSTAT-QRYEK1

Suppose $A$ is the random variable that represents the number of times a tossed coin will land on “heads” in $8$ tosses. Also, suppose $B$ is the random variable that represents the number of ounces in each of $8$ randomly selected large cups of coffee from the nearby donut shop.

Which of the following best describes the relationship between $A$ and $B$?

A

$A$ and $B$ are independent random variables. Their probability distributions should not be related to each other in any way.

B

$A$ and $B$ are dependent random variables since we are looking at the same number of observations for both.

C

$A$ and $B$ are both discrete random variables.

D

$A$ and $B$ are both continuous random variables.

E

$A$ and $B$ are mutually exclusive random variables.