Probability Density Function: Definition, Formula & Examples


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Which of the following measurements on the population of U.S. citizens would be modeled as a continuous random variable?

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1. A continuous random variable x can take any value between 0 and 1. Its probability density function is assumed to be uniform. What is the explicit form of its probability density function f(x)?

2. A continuous random variable x is uniformly distributed between -5 and 5. What is the probability of measuring x = 2.0 exactly?

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About This Quiz & Worksheet

Complete this quiz to test what you know about the probability density function. Some of these questions will require you to find the solution to mathematics problems involving this function.

Quiz & Worksheet Goals

You can work on this quiz when you're ready to measure your understanding of:

  • Measurements modeled as continuous random variables
  • The explicit form of a probability density function
  • How to measure probability

Skills Practiced

You'll have the chance to practice these skills as you answer the questions on this quiz:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on the probability density function
  • Problem solving - use acquired knowledge to solve practice problems that involve the probability of measuring certain outcomes
  • Information recall - access the knowledge you've gained regarding function over a certain range

Skills Practiced

Find out more about this mathematical skill with the lesson entitled Probability Density Function: Definition, Formula & Examples. Studying this lesson will provide you with information regarding:

  • Uses of probability density functions
  • The definition of this kind of function
  • Real world examples of probability density functions