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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a discrete random variable with an example.
💡 Hint: Think of a situation where you can count specific outcomes.
Question 2
Easy
What is a continuous random variable? Provide one example.
💡 Hint: Consider measurements that are not limited to whole numbers.
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 key characteristic of discrete random variables?
- They take countable values
- They take uncountable values
- They cannot be measured
💡 Hint: Remember the distinction between countable and uncountable outcomes.
Question 2
True or False: Continuous random variables use PMF.
- True
- False
💡 Hint: Consider the type of functions used for each type of random variable.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A coin is tossed three times. Define a discrete random variable for the number of heads obtained and calculate its PMF.
💡 Hint: Use combinations for heads in this case.
Question 2
Given a continuous random variable with a PDF defined as f(x) = 3x^2 for 0 ≤ x ≤ 1, find the probability that the variable falls between 0.5 and 1.
💡 Hint: Evaluate the integral at the limits provided.
Challenge and get performance evaluation