i. A random variable may be either discrete or continuous. ii. If Unique Buying Services has 100 employees, there might be 0, 1, 2, 3 up to 100 employees absent on Monday. In this case, the day of the week is the random variable.
iii. If we measure the weight of an eggnog carton, the variable is referred to as being a discrete random variable.
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

- A random variable can indeed be either discrete or continuous, which makes statement (i) correct. However, in statement (ii), the number of employees absent is the random variable, not the day of the week. In statement (iii), the weight of an eggnog carton would be a continuous random variable, not discrete, because weight can take on any value within an interval.

I a Random Variable May Be Either Discrete or Continuous