Question

1. -/1 points

identify the random variable as either discrete or continuous.
shelf life of a particular drug
discrete
continuous

Explanation:

Analyze the first random variable

The first question asks to identify the random variable as either discrete or continuous:
"total number of points scored in a football game"

A discrete random variable is one that can take on a countable number of distinct values (such as \(0, 1, 2, 3, \dots\)). Since points in a football game are scored in whole increments (touchdowns, field goals, safeties, extra points) and can only be represented by non-negative integers, this variable is countable. Therefore, it is a discrete random variable.

Analyze the second random variable

The second question asks to identify the random variable as either discrete or continuous:
"shelf life of a particular drug"

A continuous random variable is one that can take on any value within a given interval. Shelf life represents an amount of time (e.g., days, hours, seconds, or fractions thereof). Because time can be measured to any level of precision along a continuous scale, it is a continuous random variable.

Compare with selected options in the image

• For Question 1, the selected option in the image is "continuous", which is incorrect because points are countable integers (discrete).
• For Question 2, the selected option in the image is "discrete", which is incorrect because shelf life is a measurement of time (continuous).

Answer:

Question 1

• (A) discrete (Correct answer)
• (B) continuous

Question 2

• (A) discrete
• (B) continuous (Correct answer)