9.1.1 - What is Expectation (Mean)?
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Practice Questions
Test your understanding with targeted questions
What is the expected value of a single toss of a fair coin?
💡 Hint: Consider the values head and tails represent.
For a die roll with outcomes from 1 to 6, what is E(X)?
💡 Hint: Use the average of all die outcomes.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the expected value of rolling a fair 6-sided die?
💡 Hint: Think about how often each number occurs.
True or False: The expectation of a constant is the constant itself.
💡 Hint: Consider what happens if the random variable was always that constant.
1 more question available
Challenge Problems
Push your limits with advanced challenges
In a city, the probability distribution of daily rainfall events can be described by a discrete random variable. If E(X) = 2 inches, how do you interpret this in practical terms?
💡 Hint: Think about how this relates to planning activities.
For a random variable X with a uniform distribution from 1 to 5, find the variance and relate it to the mean.
💡 Hint: Use the variance formula for uniform distributions.
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