Multiple Choice
Which of the following is a continuous random variable?
16. Probability & Calculus
Continuous Probability Models
Struggling with Business Calculus?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Which of the following is a discrete random variable?
A
The amount of milk in a jug (in gallons)
B
The number of times a die shows 4 in 10 rolls
C
The height (in cm) of a student
D
The distance a car travels before running out of fuel
Verified step by step guidance1
Step 1: Understand the concept of a discrete random variable. A discrete random variable is one that can take on a countable number of distinct values, often integers, and is typically associated with scenarios involving counting.
Step 2: Analyze each option provided in the problem. Determine whether the variable is discrete or continuous. Continuous random variables can take on any value within a range and are often associated with measurements.
Step 3: Evaluate the first option, 'The amount of milk in a jug (in gallons)'. This is a continuous variable because the amount of milk can take on any value within a range, such as 1.5 gallons or 2.3 gallons.
Step 4: Evaluate the second option, 'The number of times a die shows 4 in 10 rolls'. This is a discrete random variable because it involves counting the number of occurrences (e.g., 0, 1, 2, ..., 10) and these values are distinct and countable.
Step 5: Evaluate the remaining options, 'The height (in cm) of a student' and 'The distance a car travels before running out of fuel'. Both are continuous variables because they involve measurements that can take on any value within a range.
5:54mWatch next
Master Continuous and Discrete Random Variables with a bite sized video explanation from Patrick
Start learningRelated Videos
Related Practice
Continuous Probability Models practice set
Problem sets built by lead tutorsExpert video explanations