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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a discrete random variable? Provide an example.
π‘ Hint: Think of variables that can be counted easily.
Question 2
Easy
What is one property of a PDF?
π‘ Hint: Think about the chances of probability being negative.
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 type of random variable can take on countable values?
- Discrete Random Variable
- Continuous Random Variable
- Both
π‘ Hint: Think about whether the values can be counted.
Question 2
True or False: The total area under a PDF is always equal to one.
- True
- False
π‘ Hint: Consider how probabilities sum up across all outcomes.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a PDF defined as f(x) = 1/3 for 0 β€ x β€ 3 and 0 otherwise, calculate P(1 β€ X β€ 2).
π‘ Hint: Use the integral of the PDF over the specified interval.
Question 2
For a continuous variable with mean ΞΌ and variance ΟΒ², derive the PDF for the normal distribution.
π‘ Hint: Consider the characteristics of normal distributions and their symmetrical properties.
Challenge and get performance evaluation