Practice Cumulative Distribution Function (CDF) - 7.2.3 | 7. Probability Distribution Function (PDF) | Mathematics - iii (Differential Calculus) - Vol 3
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Cumulative Distribution Function (CDF)

7.2.3 - Cumulative Distribution Function (CDF)

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

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

Challenge 2 Hard

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

💡 Hint: Think about piecewise functions.

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Reference links

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