Practice What is a Cumulative Distribution Function (CDF)? - 8.1 | 8. Cumulative Distribution Function (CDF) | 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

Define a Cumulative Distribution Function.

💡 Hint: Think about what F(x) represents in terms of probability.

Question 2

Easy

What is the range of a CDF?

💡 Hint: Consider the nature of probabilities.

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 does the CDF F(x) represent?

  • Probability that X > x
  • Probability that X = x
  • Probability that X ≤ x

💡 Hint: Think of the role CDF plays in distribution.

Question 2

True or False: The CDF can take values outside the range of 0 to 1.

  • True
  • False

💡 Hint: Reflect on the nature of probability.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a random variable X with the PDF f(x) = 3x² for 0 ≤ x ≤ 1. Find the CDF F(x) and evaluate F(0.5).

💡 Hint: Remember to adjust the limits of integration properly.

Question 2

A six-sided die is rolled. Calculate the CDF for the random variable representing the number shown on the die.

💡 Hint: Create segments in your computation for clarity.

Challenge and get performance evaluation