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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a discrete random variable and give an example.
💡 Hint: Think about counts or finite values.
Question 2
Easy
What is a continuous random variable?
💡 Hint: Consider things that can vary infinitely.
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 definition of a random variable?
- A fixed value in statistics
- A function assigning real numbers to outcomes
- An uncountable set of outcomes
💡 Hint: Remember, it relates to outcomes of uncertainty.
Question 2
Two random variables are considered independent if:
- True
- False
💡 Hint: Think about the impact of one variable on another.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Suppose you have two discrete random variables, A and B, with the following probabilities: P(A=1)=0.4, P(A=2)=0.6, P(B=1)=0.5, P(B=2)=0.5. Verify if A and B are independent if P(A=1, B=1)=0.2.
💡 Hint: Use the independence condition to verify.
Question 2
In a continuous scenario, if the joint probability density function for X and Y is f(x, y) = e^(-x) * e^(-y) for x,y>0, analyze the independence of X and Y.
💡 Hint: Express the joint PDF in terms of marginal PDFs.
Challenge and get performance evaluation