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Ch 55: PLACE Mathematics: Continuous Probability Distributions

About This Chapter

Review how to solve math problems involving continuous probability distribution, which you may encounter on the PLACE Mathematics exam can be found in this chapter. Watch our short, instructional videos and take self-assessment quizzes to prepare for the exam.

PLACE Mathematics: Continuous Probability Distributions - Chapter Summary

Let us give you a fast and easy way to brush up on and master the concepts of continuous probability distribution that you may encounter on the PLACE Mathematics exam. Our fun video lessons cover the topics you'll need to know, including:

  • Graphing probability distributions with random variables
  • Interpreting the expected value of a continuous random variable
  • Theoretically developing continuous probability distributions and finding expected values
  • Properties of normal distribution
  • Estimating population percentages from normal distributions using the empirical rule
  • Approximating binomial probabilities from normal distribution

Expert instructors lead you through each lesson, and you can read along with the transcripts as well. The lessons are designed to be viewed on a computer or mobile device, making it easy for you to study whenever you have time.

Objectives of the PLACE Mathematics: Continuous Probability Distributions Chapter

The exam will test your knowledge of multiple math concepts, such as probability distributions and their applications. The topics you'll study in this chapter can be found in the Statistics and Probability part of the exam, which constitutes 19% of the whole test.

The exam questions are all multiple-choice and require you to select the correct answer. Use our practice quizzes at the end of each lesson to get familiar with the types of questions you'll see.

6 Lessons in Chapter 55: PLACE Mathematics: Continuous Probability Distributions
Test your knowledge with a 30-question chapter practice test
Graphing Probability Distributions Associated with Random Variables

1. Graphing Probability Distributions Associated with Random Variables

Even if they may feel rigged, games of luck like playing the lottery or slot machines in a casino are random in nature. In this lesson, learn the definition of a random variable and how to graph probability distributions associated with them.

Finding & Interpreting the Expected Value of a Continuous Random Variable

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

A continuous random variable deals with measurements with an infinite number of likely outcomes. Define random variables and learn how to compute and to interpret the expected value of a continuous random variable with the probability density function.

Developing Continuous Probability Distributions Theoretically & Finding Expected Values

3. Developing Continuous Probability Distributions Theoretically & Finding Expected Values

In math, random variables can be defined using the probability distribution function. Learn about the types of random processes and variables, continuous probability distribution, and how to find expected values.

Normal Distribution: Definition, Properties, Characteristics & Example

4. Normal Distribution: Definition, Properties, Characteristics & Example

A normal distribution is a probability distribution characterized by a bell-shaped curve. Learn about the definition, properties, characteristics, and examples of normal distribution, and discover the empirical rule for normally distributed data.

Estimating Population Percentages from Normal Distributions: The Empirical Rule & Examples

5. Estimating Population Percentages from Normal Distributions: The Empirical Rule & Examples

In statistics, the number of standard deviations something is away from its normal distribution is called the z-score. Learn more about the z-score and normal distribution with respect to the empirical rule and how to use it to estimate population percentages.

Using Normal Distribution to Approximate Binomial Probabilities

6. Using Normal Distribution to Approximate Binomial Probabilities

Binomial probabilities show the possibility that in multiple tests with only two potential outcomes, the same result will occur. Learn about using normal distribution to approximate binomial probabilities, explore calculating odds, define binomial probabilities, and understand how to approximate binomial distributions and relate them to normal distributions.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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More Exams
There are even more practice exams available in PLACE Mathematics: Continuous Probability Distributions.

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