7.6 - Mean (Expected Value)
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Practice Questions
Test your understanding with targeted questions
Define the Mean as it relates to a random variable.
💡 Hint: Think about how we find averages in everyday life.
What is the integral used to calculate the Mean?
💡 Hint: Consider the formula that involves the PDF.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Expected Value of a random variable represent?
💡 Hint: Consider how averages reflect typical outcomes.
True or False: The Mean can also be referred to as the Expected Value.
💡 Hint: Think about the definitions we've covered for the Mean.
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Challenge Problems
Push your limits with advanced challenges
Determine the Mean of a normal distribution with a PDF of f(x) = (1/(σ√(2π))) * e^(-(x-μ)²/(2σ²)). How does the Mean relate to the center of this curve?
💡 Hint: Consider how the properties of the normal distribution affect its Mean.
Evaluate the impact on the Mean if the distribution is skewed to the right with a PDF skewed positively. What would happen?
💡 Hint: Reflect on how skewed distributions behave compared to symmetric ones.
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