Contribution by Daniel Hernandez, Unit 2 Practice Problems unit2.md

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Unit 2 Practice Problems

• Compute expectations and conditional expectations by hand and in Python.
• Understand empirical averages as approximations of expected values.
• Manipulate Normal random variables using linearity of expectation and independence.
• Apply the Central Limit Theorem to estimate probabilities of sums of random variables.
• Explore sample distributions in the context of a linear regression model with a binary predictor.
• Estimate regression coefficients as differences of conditional averages and derive their sample distributions.