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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define what a PDF is in your own words.
💡 Hint: Think about how we visualize probabilities over intervals.
Question 2
Easy
What is the total probability in any PDF?
💡 Hint: Recall the property of normalization.
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 a PDF describe?
- Discrete variables
- Continuous variables
- Both
💡 Hint: Think about the characteristics of continuous versus discrete.
Question 2
The total area under the PDF curve for a continuous random variable is equal to:
- 0
- 1
- Infinity
💡 Hint: Remember the normalization property.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Suppose a PDF is defined as f(x) = 3x^2 for 0 ≤ x ≤ 1. Calculate the probability that X falls between 0.2 and 0.5.
💡 Hint: Remember to set up the integral properly and evaluate it.
Question 2
Given a normal distribution with mean 10 and variance 4, calculate the probability that a random variable X is less than 12.
💡 Hint: Transform the problem to fit the standard normal distribution format.
Challenge and get performance evaluation