Practice Common Probability Distributions - 7.2.5 | 7. Probability Distribution Function (PDF) | Mathematics - iii (Differential Calculus) - Vol 3
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Common Probability Distributions

7.2.5 - Common Probability Distributions

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the PDF formula for a Uniform Distribution?

💡 Hint: Think about equal probabilities over the interval.

Question 2 Easy

What is an example application of the Exponential Distribution?

💡 Hint: Consider events happening continuously over time.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the PDF of a Uniform Distribution look like?

Constant
Decreasing
Increasing

💡 Hint: Remember, it's all about equal chances across intervals.

Question 2

The Normal Distribution is symmetric about which parameter?

💡 Hint: Think of the balance point of the distribution.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A continuous random variable X is uniformly distributed between 10 and 20. Calculate the probability of X being less than 15.

💡 Hint: Remember to set up the uniform PDF formula.

Challenge 2 Hard

Given that the lifetime of a light bulb follows an Exponential Distribution with λ = 0.01, what is the probability that a bulb lasts more than 100 hours?

💡 Hint: Use the complementary probability concept for Exponential Distribution.

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