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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a random variable.
π‘ Hint: Think about examples like coin flips.
Question 2
Easy
What does PDF stand for?
π‘ Hint: Consider the role of probability in measuring variability.
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 PDF stand for?
- Probability Distribution Formula
- Probability Density Function
- Probability Distribution Function
π‘ Hint: Think about how 'density' relates to probability.
Question 2
True or false: The area under a PDF curve must equal 1.
- True
- False
π‘ Hint: Consider how probability is distributed over an interval.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A continuous random variable has a PDF given by f(x) = 3xΒ² for 0 β€ x β€ 1. Calculate the probability that X is between 0.2 and 0.5.
π‘ Hint: Set up the integral carefully to find the area for the specified interval.
Question 2
Given a Gaussian PDF, determine the mean and variance if the PDF is defined as f(x) = (1/β(2ΟΟΒ²)) e^(-(x-ΞΌ)Β²/(2ΟΒ²)).
π‘ Hint: Think about the defining parameters of the Gaussian distribution.
Challenge and get performance evaluation