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Ch 5: Discrete Probability Distributions: Tutoring Solution

About This Chapter

The Discrete Probability Distributions chapter of this Statistics Tutoring Solution is a flexible and affordable path to learning about discrete probability distributions. These simple and fun video lessons are each about five minutes long and they teach all of the concepts associated with discrete probability distributions required in a typical statistics course.

How it works:

  • Begin your assignment or other statistics work.
  • Identify the discrete probability distributions concepts that you're stuck on.
  • Find fun videos on the topics you need to understand.
  • Press play, watch and learn!
  • Complete the quizzes to test your understanding.
  • As needed, submit a question to one of our instructors for personalized support.

Who's it for?

This chapter of our statistics tutoring solution will benefit any student who is trying to learn about discrete probability distributions and earn better grades. This resource can help students including those who:

  • Struggle with expected values, binomial probabilities, game strategies or any other discrete probability distributions topic
  • Have limited time for studying
  • Want a cost effective way to supplement their statistics learning
  • Prefer learning statistics visually
  • Find themselves failing or close to failing their discrete probability distributions unit
  • Cope with ADD or ADHD
  • Want to get ahead in statistics
  • Don't have access to their statistics teacher outside of class

Why it works:

  • Engaging Tutors: We make learning discrete probability distributions simple and fun.
  • Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
  • Consistent High Quality: Unlike a live statistics tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about discrete probability distributions on the go!
  • Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.

Learning Objectives

  • Be able to define random variable
  • Use probability distributions to find expected values
  • Learn to find expected values of games of chance
  • Solve problems using probability
  • Explain the conditions of binomial experiments
  • Discover how to find binomial probabilities using tables
  • Review ways to find the mean and standard deviation of a binomial random variable

Learning Objectives

  • Provide examples of random variables.
  • Find the expected value of a discrete random variable.
  • Develop discrete probability distributions theoretically.
  • Develop discrete probability distributions empirically.
  • Find expected values of games of chance, such as dice, blackjack, poker and lotteries.
  • Use expected values to analyze game strategies.
  • Solve problems using discrete probability concepts.
  • Describe the characteristics of binomial experiments.
  • Use formulas to find binomial probabilities.
  • Determine binomial probabilities using tables.
  • Calculate the mean and standard deviation of a binomial random variable.
  • Name the steps involved in solving problems with binomial experiments.

15 Lessons in Chapter 5: Discrete Probability Distributions: Tutoring Solution
Test your knowledge with a 30-question chapter practice test
Random Variables: Definition, Types & Examples

1. Random Variables: Definition, Types & Examples

This lesson defines the term random variables in the context of probability. You'll learn about certain properties of random variables and the different types of random variables.

Finding & Interpreting the Expected Value of a Discrete Random Variable

2. Finding & Interpreting the Expected Value of a Discrete Random Variable

Discrete random variables appear in your life a lot more than you think. You can use expected values to find the probability of a discrete random variable, as shown in this lesson.

Developing Discrete Probability Distributions Theoretically & Finding Expected Values

3. Developing Discrete Probability Distributions Theoretically & Finding Expected Values

In this lesson, we will look at generating a theoretical probability distribution for a discrete random variable and introduce the concept of expected value.

Developing Discrete Probability Distributions Empirically & Finding Expected Values

4. Developing Discrete Probability Distributions Empirically & Finding Expected Values

In this lesson, we will look at creating a discrete probability distribution given a set of discrete data. We will also look at determining the expected value of the distribution.

Dice: Finding Expected Values of Games of Chance

5. Dice: Finding Expected Values of Games of Chance

This lesson examines the various combinations and probabilities behind rolling dice. We will look at a game of dice and what to expect to win or lose in a game. In addition we will extend these concepts to playing with different sided dice.

Blackjack: Finding Expected Values of Games of Chance with Cards

6. Blackjack: Finding Expected Values of Games of Chance with Cards

In this video we learn about games of cards, and how to calculate probabilities. We look at the game of Blackjack and calculate the probability of getting certain hands. In addition we demonstrate how to calculate the expected value of a game that involves betting.

Lotteries: Finding Expected Values of Games of Chance

7. Lotteries: Finding Expected Values of Games of Chance

Most of us won't have a problem with winning the lottery. But is it a realistic goal? Do you really have a chance? In this lesson, learn how luck and probability collide when finding expected values in games of chance.

Comparing Game Strategies Using Expected Values: Process & Examples

8. Comparing Game Strategies Using Expected Values: Process & Examples

While statistics and probability leave a lot to chance, we can use expected values to help inform our decisions. This lesson shows us how to use expected values to make the best determinations possible.

How to Apply Discrete Probability Concepts to Problem Solving

9. How to Apply Discrete Probability Concepts to Problem Solving

Discrete probability concepts, such as expected value, success, and failure, can be used to help you solve real-world problems and inform you when making decisions.

Binomial Experiments: Definition, Characteristics & Examples

10. Binomial Experiments: Definition, Characteristics & Examples

Binomial experiments happen in your everyday life far more often than you might think. In this lesson, you will learn the characteristics of binomial experiments that will help you identify them.

Finding Binomial Probabilities Using Formulas: Process & Examples

11. Finding Binomial Probabilities Using Formulas: Process & Examples

You can find the probability of getting a certain number of successes when conducting a binomial experiment. In this lesson, you will learn how to find this information using the binomial probabilities formula.

Practice Problems for Finding Binomial Probabilities Using Formulas

12. Practice Problems for Finding Binomial Probabilities Using Formulas

In this lesson, you will review the binomial probability formula and the combination formula. Then follow along with the practice problems and see if you've mastered these concepts!

Finding Binomial Probabilities Using Tables

13. Finding Binomial Probabilities Using Tables

A binomial probability table can look intimidating to use. However, it can make your life a lot easier when trying to figure out binomial probabilities. This lesson will teach you how to read those tables.

Mean & Standard Deviation of a Binomial Random Variable: Formula & Example

14. Mean & Standard Deviation of a Binomial Random Variable: Formula & Example

When working with binomial random variables and experiments, it is important to understand the mean and standard deviation. In this lesson, you will learn how to analyze binomial experiments using the mean and standard deviation of a binomial random variable.

Solving Problems with Binomial Experiments: Steps & Example

15. Solving Problems with Binomial Experiments: Steps & Example

Sometimes when conducting research you will need to use binomial experiments to solve problems. In this lesson, you will learn about binomial experiments and how to use probability to solve problems.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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