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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does PDF stand for?
💡 Hint: It's essential in the probability.
Question 2
Easy
Name two common types of probability distributions.
💡 Hint: Think of how probabilities can be evenly spread or clustered.
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 sum of all PDF values over its range?
- Less than 1
- Equal to 1
- More than 1
💡 Hint: Think about the entire probability space.
Question 2
A PDF can be negative.
- True
- False
💡 Hint: Recall the foundational properties of PDFs.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
If a variable X has a uniform distribution between 0 and 16, what is the probability that X is less than 5?
💡 Hint: Use the length of the interval method.
Question 2
A continuous random variable has a PDF given by f(x) = 3x^2 for 0 < x < 1. Find the mean of this distribution.
💡 Hint: Use the definition of expected value with the PDF.
Challenge and get performance evaluation