14.6.1 - Expectation (Mean)
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Practice Questions
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What is the expectation E[X] for a discrete random variable X with outcomes 1, 2, and 3 having probabilities 0.2, 0.5, and 0.3 respectively?
💡 Hint: Multiply each outcome by its probability and sum the results.
In a simple game, you can roll a die. What is the expected value of the roll?
💡 Hint: Use the average of the outcomes of a fair die.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for expectation E[X] for discrete random variables?
💡 Hint: Think of how averages are calculated.
True or False: The expectation of a continuous random variable is obtained by a summation.
💡 Hint: Remember the difference between discrete and continuous cases.
1 more question available
Challenge Problems
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Suppose X and Y are two independent random variables each with a mean of 3. Calculate E[X + 2Y].
💡 Hint: Use the linearity of expectation property.
Given the joint pdf f(x,y) = 6xy in the region [0,1] find E[XY].
💡 Hint: Make sure to set up the correct double integral.
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