Lesson - Discrete and Continuous Random Variables

Multiple Choice

What distinguishes a discrete random variable from a continuous random variable?

• The ability to take on any value within a given range
• The ability to take on specific, distinct values
• The ability to take on only odd values
• The ability to take on imaginary values

Multiple Choice

In the example of household pets, what are the possible values that the random variable X can take on?

• Colors of household pets
• Sizes of household pets
• Different types of household pets
• Breeds of household pets

Multiple Choice

How are categorical variables related to discrete random variables?

• They are completely unrelated
• They are closely related
• Categorical variables are continuous, not discrete
• Categorical variables are always numerical

Multiple Choice

Why can a discrete random variable only take on integral values?

• Because a discrete random variable represents countable outcomes
• Because it can be any value
• Because it can only be negative
• Because it can only be positive

Multiple Choice

What is the main difference between a discrete random variable and a continuous random variable?

• Discrete random variables can only take on specific, distinct values, while continuous random variables can take on any value within a certain range.
• Discrete random variables are always negative, while continuous random variables are always positive
• Discrete random variables and continuous random variables are the same
• Discrete random variables can take on any value within a certain range, while continuous random variables can only take on specific, distinct values