9.1.2 - Expectation for Discrete Random Variables
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Practice Questions
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What is the expectation of a fair coin toss?
💡 Hint: Consider the probabilities of each outcome.
Calculate the expectation for rolling a 4-sided die.
💡 Hint: Add all outcomes and divide by the number of sides.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the expectation of the outcome when rolling a fair 6-sided die?
💡 Hint: Think about the average of all the outcomes.
Is the expected value of a constant equal to the constant itself?
💡 Hint: Remember what a constant is.
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Challenge Problems
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You roll two 6-sided dice. What is the expected value of the sum of the two rolls?
💡 Hint: Calculate each die's expectation and sum them.
Consider a random variable Z that can take values 0, 1, 2, or 3 with probabilities 0.1, 0.2, 0.4, and 0.3 respectively. Calculate E(Z) and variance.
💡 Hint: Use the definition of expectation and then apply the variance formula.
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