7.1.2.1 - Definition
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define a random variable.
💡 Hint: Think about examples like coin flips.
What does PDF stand for?
💡 Hint: Consider the role of probability in measuring variability.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does PDF stand for?
💡 Hint: Think about how 'density' relates to probability.
True or false: The area under a PDF curve must equal 1.
💡 Hint: Consider how probability is distributed over an interval.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
A continuous random variable has a PDF given by f(x) = 3x² for 0 ≤ x ≤ 1. Calculate the probability that X is between 0.2 and 0.5.
💡 Hint: Set up the integral carefully to find the area for the specified interval.
Given a Gaussian PDF, determine the mean and variance if the PDF is defined as f(x) = (1/√(2πσ²)) e^(-(x-μ)²/(2σ²)).
💡 Hint: Think about the defining parameters of the Gaussian distribution.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.