6.5 - Comparison Table
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Practice Questions
Test your understanding with targeted questions
Define a discrete random variable with an example.
💡 Hint: Think of a situation where you can count specific outcomes.
What is a continuous random variable? Provide one example.
💡 Hint: Consider measurements that are not limited to whole numbers.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the key characteristic of discrete random variables?
💡 Hint: Remember the distinction between countable and uncountable outcomes.
True or False: Continuous random variables use PMF.
💡 Hint: Consider the type of functions used for each type of random variable.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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