Practice Cumulative Distribution Function (CDF) - 7.2.3 | 7. Probability Distribution 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

Define the CDF in your own words.

💡 Hint: Think about how probabilities accumulate.

Question 2

Easy

What is the relation between PDF and CDF?

💡 Hint: Integration leads to cumulative values.

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 primary function of a CDF?

  • Describes likelihood at a point
  • Used for integration alone
  • Gives cumulative probability

💡 Hint: Recall what cumulative means.

Question 2

True or False: As x approaches negative infinity, the CDF approaches 1.

  • True
  • False

💡 Hint: Think about total probability discounting small values.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Derive the CDF for a PDF given as f(x) = e^(-x) for x ≥ 0.

💡 Hint: Set up the definite integral for the PDF.

Question 2

For a bimodal distribution with two peaks, how would you outline a method to derive its CDF?

💡 Hint: Think about piecewise functions.

Challenge and get performance evaluation