i. If we measure the weight of an eggnog carton, the variable is referred to as being a discrete random variable. ii. If we toss two coins and count the number of heads, there could be 0, 1, or 2 heads. Since the exact number of heads resulting from this experiment is due to chance, the number of heads appearing is a random variable.
iii. A random variable may be either discrete or continuous.
A) (i), (ii), and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

- Statement (i) is incorrect because the weight of an eggnog carton is a continuous variable, not discrete, as it can take on any value within a range.- Statement (ii) is correct because the number of heads from tossing two coins is a discrete random variable; it can only take on a countable number of values (0, 1, or 2).- Statement (iii) is correct because random variables can indeed be classified as either discrete (taking on countable values) or continuous (taking on any value within a range).

I If We Measure the Weight of an Eggnog Carton