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Module 4 Pre-Assessment

Test your baseline knowledge of discrete probability distributions

About This Assessment

This pre-assessment helps us understand what you already know about discrete probability distributions before you start the module. Your responses are for learning purposes only—don't worry if you don't know the answers yet! That's what the lessons are for.

5 questions covering key discrete probability concepts
No time limit – take your time
Not graded – this is just to measure your starting point
You'll take the same assessment after completing the module to measure your learning gains

What is a random variable?

A variable that changes randomly without any pattern
A numerical value that results from a random experiment or chance process
A variable that can only take on whole number values
Any variable in a probability problem

Which of the following is a discrete random variable?

The weight of a randomly selected student
The number of heads when flipping a coin 10 times
The exact time it takes to run a marathon
The temperature at noon on a random day

What does the expected value E(X) represent?

The value that occurs most frequently
The long-run average value of the random variable
The middle value when all outcomes are ordered
The most likely outcome of an experiment

For a valid discrete probability distribution, which condition must be TRUE?

All probabilities must be equal
The sum of all probabilities must equal 1
Each probability must be greater than 0.5
There must be exactly 5 possible outcomes

Which of the following situations can be modeled using a binomial distribution?

Rolling a die 20 times and recording the number shown
Flipping a coin 50 times and counting the number of heads
Measuring the heights of 30 randomly selected adults
Selecting 5 cards from a deck without replacement and counting aces

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