Practice Cumulative Distribution Function (CDF) - 13.1.4 | 13. Probability Density Function (pdf) | Mathematics - iii (Differential Calculus) - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the CDF represent?

πŸ’‘ Hint: Think about what kind of probability it describes.

Question 2

Easy

What is one property of a CDF?

πŸ’‘ Hint: Consider how the probability changes as the value increases.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the cumulative distribution function?

  • A function for discrete variables
  • A function defining cumulative probabilities
  • A random variable

πŸ’‘ Hint: Recall what cumulative means.

Question 2

True or False: The CDF at positive infinity equals 1.

  • True
  • False

πŸ’‘ Hint: Think about certainty in probabilities.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a continuous random variable with a PDF of f(x) = 2x for 0 ≀ x ≀ 1, determine the CDF and graph it.

πŸ’‘ Hint: Use the fundamental theorem of calculus for integration.

Question 2

Explain how CDFs can assist in decision-making within risk management frameworks.

πŸ’‘ Hint: Consider how probabilities directly inform decisions.

Challenge and get performance evaluation